Chapter 1: Earning Income WORKBOOK SAMPLERmoney received for work 1.1 Identifying Ways of Earning Income hourly wage a ˜ xed payment for each hour of work Examples: store clerk, fast-food

WORKBOOK SAMPLER

Chapter 1: Earning Income

Nelson Mathematics for Apprenticeship and Workplace 10

Table of Contents

Chapter 1 Earning IncomeChapter Getting 1.1 Jobs and Income1.2 Calculating Gross Income: Salaries and Contracts1.3 Calculating Gross Income: Hourly Wage1.4 Calculating Overtime

Mid-Chapter 1.5 Calculating Gross Income: Commission1.6 Calculating Gross Income: Piecework1.7 Comparing Types of Income1.8 Calculating Net Pay1.9 Solving a Payment Puzzle

Chapter Chapter

Chapter 2 Linear Measurement SystemsChapter Getting 2.1 Linear Measure in The Imperial System2.2 Linear Measure in The SI System2.3 Estimating Lengths

Mid-Chapter 2.4 Measuring Lengths2.5 Determining the Midpoint of a Linear Measurement2.6 Converting Linear Measurements: Imperial to SI2.7 Converting Linear Measurements: SI to Imperial2.8 Puzzle/Game

Chapter Chapter

Chapter 3 Solving Linear Measurement ProblemsChapter Getting 3.1 Working with Fractions and the Imperial System3.2 Using the Imperial System to Solve Problems

Mid-Chapter 3.3 Working with Decimals and the SI System3.4 Using the SI System to Solve Problems3.5 Deciding Which System to Use to Solve Problems 3.6 Puzzle/Game

Chapter Chapter

This sampler contains Chapter 1

1

Chapter 4 Area Measurement Chapter Getting 4.1 Estimating Area Using Referents4.2 Estimating Area Using Grids4.3 Area Conversions and the Relationship Between Units4.4 Calculating Areas of 2-D shapes

Mid-Chapter 4.5 Calculating Area of Irregular Polygons4.6 Calculating Area of Regular Polygons4.7 Calculating Area of Composite Shapes4.8 Calculating Surface Area of 3-D Objects4.9 Puzzle/Game

Chapter Chapter

Chapter 5 Volume, Capacity, Mass, and Temperature MeasurementChapter Getting 5.1 Volume/Capacity in The Imperial System5.2 Volume/Capacity in The SI System5.3 Mass in The Imperial System5.4 Mass in The SI System

Mid-Chapter 5.5 Converting Volume and Mass Measurements: Imperial to SI5.6 Converting Volume and Mass Measurements: SI to Imperial5.7 Temperature Relationships5.8 Puzzle/Game

Chapter Chapter

Chapter 6 Working with MoneyChapter Getting 6.1 Calculating Unit Price6.2 Calculating Sale Prices 6.3 Determining the Best Buy

Mid-Chapter 6.4 Analyzing Sales Promotions6.5 Currency Exchange6.6 Estimating Costs in Different Countries6.7 Puzzle/Game

Chapter Chapter

Chapter 7 Lines and AnglesChapter Getting 7.1 Estimating and Measuring Angles7.2 Describing Angles

2

7.3 Bisecting Angles7.4 Replicating Angles

Mid-Chapter 7.5 Classifying Lines and Angles7.6 Parallel Lines and Transversals7.7 Calculating Angles7.8 Puzzle/Game

Chapter Chapter

Chapter 8 Relationships in Right TrianglesChapter Getting 8.1 Understanding the Pythagorean Theorem8.2 Applying the Pythagorean Theorem8.3 Calculating Side Lengths using the Sine Ratio8.4 Calculating Side Lengths using the Cosine Ratio

Mid-Chapter 8.5 Calculating Side Lengths using the Tangent Ratio8.6 Calculating Angles8.7 Solving Right Triangle Problems8.8 Puzzle/Game

Chapter Chapter

Chapter 9 Similar Polygons Chapter Getting 9.1 Similar Polygons: Angle Relationships9.2 Similar Polygons: Side Length Relationships9.3 Drawing a Similar Polygon

Mid-Chapter 9.4 Calculating Side Lengths in Similar Polygons9.5 Solving Problems Involving Similar Polygons9.6 Puzzle/Game

Chapter Chapter

Chapter 10 Transformations Chapter Getting 10.1 Translations 10.2 Rotations Mid-Chapter Review10.3 Reflections

Mid-Chapter 10.4 Dilations10.5 Successive Transformations 10.6 Applications of Transformations10.7 Puzzle/Game

Chapter Chapter

Todd manages a music store. Most of his employees are paid by the hour.

What are some other jobs that pay by the hour? A.

What are some other ways people get paid to work?B.

Earning Income 1

NEL Chapter 1 Earning Income

1150002C01.indd 1 2/9/10 4:33:53 PM

3

Percent of a NumberCalculate 5% of 420. If your calculator has a % key, enter

420 5 % or 420 5 2nd %

If your calculator does not have a % key, enter

420 .05 or 420 5 100

Tech Tip

Getting GettingGetting1

A percent is a fraction out of 100.

Hint

Write each fraction as a decimal.1.

a) = c) =

= b) d) =

Write each 2. percent as a decimal.

5% = = a) d) 20% =

10% = b) e) 21.5% =

15% = c) f ) 3.25% =

Calculate each 3. percent.

4% of 500 a) c) 3.5% of 800 = 0.04 500 =

= =

12% of 750 b) d) 2.25% of 600 = =

= =

5100

75100

17100

610

5100

CE/C

0a /

12

3RCL

45

6STO

78

9∑

EE(

)∏

1/

/

√HYP

SINCOS TAN

2nd DRG LOGLN

y

1234567890/

In these calculations, “of” means multiply.

Hint

12

Calculate each percent.4.

6% of 80 = a) c) 8.5% of 620 =

12% of 584 = b) d) 2 % of 3450 =

NEL Apprenticeship and Workplace 10

1150002C01.indd 2 2/9/10 4:33:58 PM

4

Write each decimal as a fraction.5.

0.25 = a) c) 0.80 =

0.75 = b) d) 0.08 =

Write each length of time in hours and minutes.6.

8.5 hours = a) h min

24.75 hours = b) h min

1c) 7.25 hours = h min

40.3 hours = d) h min

Write each length of time as a decimal in hours.7.

12 h 3a) 0 min = h c) 36 h 45 min = h

9 h 15 min = b) h d) 45 h 20 min = h

What is the total number of hours?8.

8 h a day, 5 days a week for 50 weeks: a) h

7.5 h a day, 6 days a week for 52 weeks: b) h

42 h a week for 2 years: c) h

120 h a month for 5 years: d) h

What is double the value of each number?9.

12 × 2 a) c) 14.25 × 2

13.5 × 2 b) d) 11.8 × 2

Determine each value multiplied by a factor of 1.5. 10.

10 × 1.5 a) c) 14.5 × 1.5

15 × 1.5 b) d) 13.4 × 1.5

Calculate.11.

5.67 + 3.39 = a) c) 4.7 × 5 =

12.66 – 4.38 = b) d) 40 ÷ 0.2 =

121

2

3

4

56

7

8

9

10

11


1150002C01.indd 3 2/9/10 4:34:00 PM

5

Use mental math to calculate.i) $500 + $750 + $1200 + $250 = $ ii) $10 000 + $12 150 + $3 820 = $

Try These

People who work earn income in different ways. The way they are paid depends on the type of job they have.

income

money received for work

Try TheseTry These

1.1 Identifying Ways of Earning Income

hourly wage a � xed payment for each hour of work

Examples: store clerk, fast-food restaurant worker

wage and tips an hourly wage plus varying amounts in tips for services provided

Examples: taxi driver, hotel worker

salary a regular � xed payment for work, usually expressed as an amount per year but paid regularly (e.g., every two weeks or monthly)

Examples: � re� ghter, teacher

commission a payment based on a percentage of the worker’s sales

Examples: real estate agent, car salesperson

royalty a payment for a piece of work that is marketed and sold. The amount is based on a percentage of sales

Examples: author, musician

piecework a payment based on the number of items created or completed

Examples: sewing machine operator, cable TV installer

contract a payment for a � xed period of time and/or a � xed amount of money

Examples: electrical contractor, editor

Ways of Earning Income


1150002C01.indd 4 2/9/10 4:34:06 PM

6

PracticeMatch each job with the payment method.1.

Job Payment Method

video store clerk salary

police of�cer piecework

screenplay writer hourly wage

tour guide royalty

fruit picker hourly wage and tips

furniture salesperson contract

landscape architect commission

Identify the way each worker below might be paid. 2. Explain how you know.

assembly line auto worker a)

motorcycle and ATV salesperson b)

recording artist c)

List three jobs that might be paid 3. each way. Research some ideas.

wage and tips a)

contract b)

List three jobs you might be interested in. For each job, 4. identify the way you might be paid.


1150002C01.indd 5 2/9/10 4:34:07 PM

7

Nellie is the head chef at a restaurant. Her annual salary is $56 000.

1 How much does Nellie earn each month?

There are 12 months in a year.

$56 000 $ each month

2 How much does Nellie earn each week?

There are about 52 weeks in a year.

$56 000 $ each week

Example 1Sarah designs houses. She is paid by contract from each builder. This year she earned $25 000, $15 200, $19 750, and $31 800 on four contracts. What is her gross income?

SolutionWhat is the sum of the amounts earned on the contracts?A. $25 000 $ $ $

= $

What is Sarah’s gross income?B. Sarah’s gross income is $

annual

for a year

gross income

the total amount of money earned in a pay period before any deductions

Try Thesei) 3% of $40 000 ii) 5.5% of $78 525

= × $40 000 = × $78 525

= $ = $

Try TheseTry These

1.2 Salaries and Contracts

The sign means “approximately equal to.”

Hint


1150002C01.indd 6 2/9/10 4:34:10 PM

8

Example 2Azif is a project manager for a publishing company. His yearly salary is $65 000. This year he will also get a bonus that is 2% of his salary. What is Azif’s gross income?

Solution 1How much is Azif’s bonus?A. 2% of $65 000 × $65 000

$

What is Azif’s gross income, including the bonus?B. $65 000 $ $

Solution 2What is the total percentage of the salary Azif earns, A. including his bonus?

100% % %

Azif’s gross income is B. % of $65 000. × $65 000 $

Azif’s gross income is $ .

PracticeComplete the chart.1.

Name Annual salary Monthly earnings Weekly earnings

Andre $32 000

Clair $24 500

Heiko $41 200

Lyla $52 850

Use mental math.2.

What is the annual salary for monthly earnings of $5100?a)

What is the annual salary for weekly earnings of $500?b)

bonus

an additional payment to a worker as a reward for meeting company goals

REFLECTINGDo you prefer Solution 1 or

Solution 2? Why?

$

$

$

$

$

$

$

$


1150002C01.indd 7 2/9/10 4:34:11 PM

9

Sunny is a junior graphic designer. Last year she earned the 3. following amounts from three different contracts: $12 850, $15 000, and $13 200. What was her gross income?

Complete the chart.4.

Name Annual salary Monthly earnings Weekly earnings

Bart $2 250

Nadia $745

Rhaj $1 865

Lee $590

Calculate.5.

2% of 36 000 a) c) 102% of 36 000

8.5% of 4200 b) d) 104% of 34 450

Lang is an accountant in Vancouver with an annual salary of 6. $68 200. He gets a 2.4% bonus if his � rm does well. What is the maximum gross income Lang can earn?

Determine the amount of each bonus and the gross income.7.

NameAnnual salary

Bonus(%)

Bonus amount

Gross income

publisher $63 400 3

bank manager $72 800 4

warehouse worker $39 200 1.5

legal secretary $45 500 2

$

$

$

$

$

$

$

$

$

$

$

$

$

$

$

$

Determine the annual salary � rst. Then use this answer to determine the other.

Hint


1150002C01.indd 8 2/9/10 4:34:12 PM

10

Jhamil is a software developer in Red Deer, Alberta. Last year 8. her gross income was $58 300 from four different contracts. Three of these paid $8 300, $12 750, and $22 400. What was the value of the fourth contract?

Which is greater?9.

an annual salary of $48 000 a) or an annual salary of $46 500 plus a 1% bonus?

a one-year contract for $72 500 b) or an annual salary based on $1550 per week?

Matthew has a part-time job that pays $358 per week. He 10. wants to get another job so that he will earn $28 000 per year. How much does he need to earn at his other job?

Ben is a human resources assistant in Saskatoon, 11. Saskatchewan. Last year his salary was $48 000, and his gross income was $49 400.

Calculate Ben’s bonus. a)

What percentage of Ben’s salary was his bonus?b)

Darla earns $50 every two weeks delivering 12. newspapers. Chris earns $50 twice a month walking dogs. Who earns more per year?


1150002C01.indd 9 2/9/10 4:34:12 PM

11

Try These

Rachelle earns $12.45 per hour as a cashier at a grocery store. Last week she worked 35 hours.

1 What was Rachelle’s gross income for the week?

35 h × $ /h $

Rachelle’s gross income was $ .

Example Denzel works at a tire manufacturing plant and earns $10.20/h on day shift. When he works the evening or night shift, he earns a shift premium of $1.15/h. Last month he worked 80 h on day shift, 40 h on evenings, and 40 h on nights. What was his gross income for the month?

SolutionHow much did Denzel earn on day shift last month?A. h × $10.20/h $

What is Denzel’s hourly wage on the evening or night shift?B. $10.20/h $ /h $ /h

C. How much did Denzel earn on the evening and night shifts last month?

$ /h × 80 h $

What was Denzel’s gross income for the month?D. $ $ $

Denzel’s total income was $ .

shift premium

an additional amount of money for working outside of regular workday hours or on weekends

REFLECTINGWhy do you think companies pay a shift premium to

workers?

Calculating Income: Hourly Wage

i) $8.50 × 40 $ iii) 25 × $9.75 $

ii) $10.25 × 28 $ iv) 37.5 × $16 $

Try TheseTry These

Calculating Income: Hourly Wage

i) $8.50

1.3


1150002C01.indd 10 2/9/10 4:34:16 PM

12

PracticeComplete the chart.1.

Job Hourly wageNumber of

hours worked Gross income

landscaper $9.85/h 40 $

janitor $19.50/h 35 $

dog groomer $11.25/h 20 $

security guard $15.30/h 12 $

Calculate.2.

$725 a) 35 = $ c) $698 37.5 = $

$438 b) 30 = $ d) $998 42.5 = $


Job Hourly wageNumber of

hours workedGross

income

painter 50 $537.50

animal shelter worker

18 $202.50

dishwasher 27 $247.05

crossing guard 12.5 $130.63

Aniela works at a library and earns $15.75/h. Hannah works at 4. a sporting goods store and earns $10.45/h. Last week Aniela worked for 30 hours and Hannah worked for 35. Who had the higher gross income for the week?

Aniela: Hannah:

Cory earns $9.90 per hour. After three months he will get a 5. $0.75 raise. What will his new hourly rate be?

$

$

$

$


1150002C01.indd 11 2/9/10 4:34:17 PM

13

Determine the hourly wage for each day listed. Shift 6. premiums are paid only on weekends for these jobs.

Regular hourly wage Shift premium Day of the week Hourly wage

$9.25/h $0.55/h Saturday

$17.50/h $1.25/h Friday

$21.25/h $2.00/h Sunday

Bonnie earns $28.50/h as a welder plus a shift premium of $1.75 7. for working on weekends. A summary of her hours worked is shown. What was Bonnie’s gross income for the week?

Harli works for a hair salon earning $12.45/h. Marco is a 8. bricklayer earning $15.80/h plus a shift premium of $1.10/h for working evenings. Last week Harli worked 40 h. Marco also worked 40 h, but 8 of these were in the evening.

Calculate each worker’s gross income.a)

Harli: Marco:

Who earned more and by how much?b)

Every province in Canada has a minimum hourly wage that 9. employers must pay their workers.

What is the current minimum wage in your province ora) territory? $ per hour

If you had a part-time job and worked for 24 hours in a b) week, what would your gross income be for a week if you were paid the minimum wage?

Bonnie’s Hours

Hours worked

Mon. 8

Tues. 8

Wed. 8

Thurs. 8

Fri. 8

Sat. 12

Sun. 0

$

$

$

Rate:

Rate:

Total weekday hours:

Total weekend hours:


1150002C01.indd 12 2/9/10 4:34:17 PM

14

Abbygail works 37.5 hours per week in Dawson City, Yukon, 10. for minimum wage. What is her weekly gross income?

Borys earns $55 000/year as a teacher. 11. Jarrod is a plumber earning $28.50/h. If Jarrod works 40 h each week for 50 weeks each year, who has the higher gross income for the year and by how much?

Vince earns $12.25/h as a taxi driver working 12. an average of 50 h each week. He usually earns $90 in tips each week and works 50 weeks each year. What is Vince’s gross annual income?

Star works part time as a waitress. She earns 13. $10/h and makes $50 in tips each week. If she works 20 h each week, how many weeks will it take her to earn $3000?

Use the Internet to � nd out the current minimum wage in Yukon.

Hint


1150002C01.indd 13 2/9/10 4:34:17 PM

15

Manny works on a farm near Moose Jaw, Saskatchewan. He clocks in and out of work using a time card. He earns $9.20/h and is also paid time and a half for any hours worked over 40 h in one week. His time card for one week is shown. What is Manny’s gross income for the week?

1 How much does Manny earn for the � rst 40 hours he works?

40 h × $ /h $

2 What is Manny’s hourly wage for overtime hours?

$ /h × 1.5 $ /h

3 How much does Manny earn for his overtime hours? h × $ /h $

4 What is Manny’s gross income for the week?

time and a half

the hourly wage multiplied by a factor of 1.5

REFLECTINGWhat time does

Manny start work, and when does

he take his lunch break?

Calculating Income: Overtime

Try These

i) 2 × $8.25 $ ii) 1.5 × $11.10 $

Thursday

Friday

Saturday

Sunday

Monday

Tuesday

Wednesday

In Out In Out Time Off HoursHours Worked Total HoursShift

52.00Total0.00Other40.00Regular 12.00Overtime

9.50

10.00

5.00

8.50

9.50

9.50

9.50

10.00

5.00

8.50

9.50

9.50

01:25 P

01:27 P

––:–– –

––:–– –

01:27 P

01:18 P

12:30 P

04:03 P

04:27 P

––:–– –

––:–– –

03:08 P

04:00 P

04:00 P

1

1

1

1

1

1

1

06:07 A

06:00 A

05:58 A

––:–– –

06:05 A

06:02 A

05:58 A

01:00 P

12:59 P

11:01 A

––:–– –

12:58 P

12:51 P

12:00 P

Calculating Income: Overtime

Try TheseTry These

1.4


1150002C01.indd 14 2/9/10 4:34:20 PM

16

Example Astrid works in the oil and gas industry near Fort McMurray, Alberta. She earns $28.30/h and makes double time for hours worked beyond 40 each week. Calculate Astrid’s gross income for 45.25 hours worked last week.

SolutionHow much does Astrid earn for the � rst 40 hours she works?A. 40 × $ /h = $

How much does Astrid earn for overtime hours?B. Hourly wage for overtime:

Total for overtime hours:

What is Astrid’s gross income for the week?C. $ + $ = $

PracticeDarcy earns $22.40 per hour as a lathe operator, plus time 1. and a half for hours worked over 40 hours each week.

Complete Darcy’s time card.a)

In Out In OutHours

workedTotal hours

Monday 7:00 AM 11:30 AM 12:00 PM 3:30 PM

Tuesday 6:59 AM 11:28 AM 12:01 PM 3:32 PM

Wednesday 6:55 AM 11:26 AM 11:59 AM 3:29 PM

Thursday 6:57 AM 11:32 AM 12:03 PM 5:00 PM

Friday 6:58 AM 11:30 AM 12:01 PM 6:15 PM

Saturday 12:00 PM 4:15 PM

Sunday

Regular Overtime Total

What was Darcy’s gross income for the week?b)

double time

the hourly wage multiplied by 2


1150002C01.indd 15 2/9/10 4:34:21 PM

17

In Out In OutHours

workedTotal hours

Monday 8:00 AM 12:30 PM 1:00 PM 5:30 PM

Tuesday 7:58 AM 12:29 PM 1:01 PM 4:32 PM

Wednesday 7:55 AM 12:30 PM 1:00 PM 6:29 PM

Thursday 6:58 AM 11:32 AM 12:03 PM 6:00 PM

Friday 6:59 AM 11:30 AM 12:01 PM 4:30 PM

Saturday

Sunday

Regular Overtime Total

Brent has a job with the city parks department earning 2. $18.60/h. If he works more than 40 h in a week, he earns time and a half. What was his gross income for working 46.5 hours in one week?

Penny earns $28.20/h as an electrician, plus double time for 3. any hours over 40 hours each week.

Complete Penny’s time card.a)

What is Penny’s gross income for the week?b)

Shelly earns $18.50/h as a child-care worker plus time and a 4. half for hours over 40 hours a week.Pablo works at a hockey arena and earns $14/h for 37.5 h worked each week and double time for hours above this. If they both work 45 h in a week, who is paid more?


1150002C01.indd 16 2/9/10 4:34:22 PM

18

Name a job that might be paid in each way.1.

hoa) urly wage

salary b)

contract c)

royalty d)

Sarit manages a clothing boutique and has an annual salary 2. of $23 600. Aparnah works in a shoe store and is paid $9.80/h for 40 hours each week. Who has the higher gross income each month?

Monique is a freelance editor with a contract that will pay her 3. $15 500 over � ve months. Minaku works 160 h each month for a newspaper and earns $17.50/h. Who has the higher gross income over this � ve-month period?

Jacques works for a deck and fence building company. He is 4. paid an hourly wage of $20.50. He usually works 8 h a day, 5 days a week. When he works more than 40 h in a week, he earns time and a half. What is Jacques’ gross income for working 52 h in a week?

Jarrod earns an annual salary of $55 300. This year he will 5. receive a 2% bonus. Marie earns $440/week in wages and $150/week in tips. Who earned more this year?

Mid-Chapter


1150002C01.indd 17 2/9/10 4:34:23 PM

19

Calculating Income: CommissionCalculating Income: Commission1.5

Ali is a real-estate agent earning straight commission. His commission rate is 4% of the selling price of each home he sells. This month he sold two homes. What was his commission?

12 Brook� eld Place $255 000246 Pine Street $304 999

1 What is the total value of the homes Ali sold?

$ + $ = $

2 What is the amount of commission Ali earned?

4% of $ = $

Ali earned $ in commission this month.

Example 1Sabina is a salesperson at Electronics Empire earning a base salary of $340/week. She also earns 1.5% commission on the total value of all the goods she sells each month. These are her sales for November:

November 1–15 $55 340November 16–30 $75 920

What was Sabina’s gross income for November?

SolutionWhat was Sabina’s base salary for the month?A. 4 weeks × $ /week = $

a) 5% of $12 200 = $ c) 1.5% of $ 9420 = $

b) 2% of $3250 = $ d) 2.3% of $150 = $

Try These

straight commission

payment based only on sales made

base salary

payment for a given work period, such as an hour or a week, but not including additional pay

REFLECTINGCompare Sabina’s sales for the � rst half of the month

to those in the last half. Why do you think they differ?


1150002C01.indd 18 2/9/10 4:34:26 PM

20

What was the total value of Sabina’s sales for the month?B. $ + $ = $

What was the value of Sabina’s commission for the month?C. 1.5% of $ = $

What was Sabina’s total income for the month?D. $ + $ = $

Example 2Jasmine sells clothing part time at BB’s Boutique.

monthly salary: $9504% commission on the �rst $15 000 of her sales for the month6% commission on sales over $15 000

Jasmine’s total sales for September were $28 200. What was Jasmine’s gross income for the month?

SolutionWhat is Jasmine’s base salary for the month? $A.

What was her commission for $15 000 in sales? B. % of $15 000 = $

What was her commission for sales over $15 000?C. % of ($ – $15 000)

= × $

= $

What is Jasmine’s total income for the month?D. $ + $ + $ = $


1150002C01.indd 19 2/9/10 4:34:27 PM

21

PracticeDetermine the amount of commission for each person’s sales.1.

SalespersonCommission

rateTotalsales

Commission earned

Brock 5% $12 000 $

Monica 3% $49 520 $

Katrina 1.5% $24 050 $

Tootega 2.5% $41 225 $

Akheem sells contracts for wireless devices. He earns 4% 2. straight commission on his weekly sales.

Use the chart to determine Akheem’s gross income for a) June.

DateCommission

rateTotalsales

Commission earned

June 1–7 4% $5000 $

June 8–14 4% $4850 $

June 15–21 4% $6050 $

June 22–28 4% $3240 $

Total $

How could you calculate Akheem’s gross income using a b) different strategy?

Petra works in a shoe store earning $285 a week plus 3% 3. commission on her sales. Last week her sales were $4200. What was Petra’s gross income for the week?


1150002C01.indd 20 2/9/10 4:34:27 PM

22

Art sells cars. He earns a base salary of $450/week and 1.5% 4. commission. What was Art’s gross income last month when his total sales were $125 950?

Juanita earns $1250 monthly selling large appliances. 5. She also earns 2% commission on her �rst $20 000 in sales and 3.5% on sales over $20 000 each month. Her total sales for March were $34 320. What was Juanita’s gross income for the month?

Mario earns 3% straight commission. Brent earns a monthly 6. salary of $3400 and 1% commission on his sales. If they both sell $245 000 worth of merchandise, who earns the higher gross monthly income?

Mario: Brent:

Tamara wants to earn $3000 next month. She earns a base 7. salary of $600 a month plus 3% commission on sales. How much would she have to sell to earn her target?

If you had a job as a salesperson, would you want to earn 8. straight commission or a base salary plus a commission? Explain your thinking.


1150002C01.indd 21 2/9/10 4:34:27 PM

23

Dominic delivers catalogues. He is paid 30¢ for each catalogue he delivers. Last night he delivered 243 catalogues. How much did Dominic earn last night?

1 How much does Dominic get paid per catalogue?

30¢ = $

2 How much did Dominic earn last night?

$ × = $

ExampleRosco sells programs at the Edmonton Oilers hockey games. He earns $20 per game plus 23¢ for each program he sells. Last game he sold 244 programs. How much did he earn?

SolutionHow much does Rosco get paid per program? A. 23¢ = $

How much did Rosco earn in program sales?B. $ × = $

How much did Rosco earn last game?C. $ + $ = $

Calculating Income: PieceworkCalculating Income: Piecework1.6a) 10¢ = $ c) $0.18 × 2560 = $

b) 35¢ = $ d) 45¢ × 345 = $

Try These

REFLECTINGHow does

piecework bene� t the worker? How does piecework

bene� t the employer?


1150002C01.indd 22 2/9/10 4:34:30 PM

24

PracticeDetermine the gross earnings for each person.1.

Job Payment Number Earnings

telemarketer 25¢/call 331 calls $

cleaner $80/home 8 homes $

apple picker $2.25/basket 45 baskets $

tire installer $1.50/tire 80 tires $

Kat sells T-shirts at concerts. She is paid $25 per concert and 2. 50¢ for each T-shirt she sells. What were Kat’s gross earnings for selling 174 T-shirts at one concert?

Juan prunes fruit trees. Last week he was paid $660 for 3. pruning 240 trees. How much was Juan paid for each tree?

Harry assembles cardboard boxes and packs them with 4. canned soup. He averages 320 boxes per day and is paid 30¢ per box. If he works 5 days a week for 50 weeks each year, what is his gross yearly income?

Jackie is paid $2.00/basket for picking blueberries. 5. Last year she was paid $1.85/basket.

How much will she earn this year for 135 baskets?a)

How much more will she earn this year than last year for b) 135 baskets?


1150002C01.indd 23 2/9/10 4:34:30 PM

25

Paul earns $9.40/h. Yvonne earns $8.10/h and gets time and a half for hours worked over 40 h per week. Compare their incomes for working 50 h one week.

1 How much does Paul earn?

$ /h × 50 h = $

2 How much does Yvonne earn?

$ /h × 40 h + $ /h × × 10 h = $

3 Who earns more?

How much more? $ $ = $ earns more than .

Example 1Sanjay is a waiter and Jon sells magazine subscriptions. Who has the higher gross annual income if they both work 50 weeks?

Sanjay: $8.00/h 40 h per week $300/week in tipsJon: $280/week 4% commission $3300/week in sales

SolutionHow much does Sanjay earn each year from his hourly wage?A. $ /h × 40 h × 50 = $

How much does Sanjay earn each year from tips?B. $ /week × weeks = $

Comparing Types of IncomeComparing Types of Income1.7Try These

a) 1.5 × 40 × $12.50 $ b) $65 000 ÷ 52 $

REFLECTINGWhat are some advantages and disadvantages of how Sanjay and Jon are paid?


1150002C01.indd 24 2/9/10 4:34:33 PM

26

What is Sanjay’s gross income for one year?C. $ + $ = $

How much does Jon earn each year from his weekly salary? D. $ /week × weeks = $

How much does Jon earn each year from commission?E. 4% of $ × 50 = $

What is Jon’s gross income for one year?F. $ + $ = $

Who has the higher gross annual income?G.

Example 2Jody installs and repairs telephones. She earns $21.20/h plus time and a half for any hours she works over 40 hours a week. Last week she worked 49 hours. Aidan earns an annual salary of $43 000 as the director of sales at a computer company. Who had the higher gross income last week?

SolutionHow much did Jody earn for the �rst 40 h she worked? A. $ /h × 40 h = $

How much did Jody earn in overtime for the week?B. $ /h × × h = $

What was Jody’s gross income for last week?C. $ + $ = $

What was Aidan’s gross income for the week?D. $ ÷ = $

Who had the higher gross income for the week?E. had the higher gross income.

REFLECTINGWhat are some advantages and disadvantages

of how Jody and Aidan are paid?


1150002C01.indd 25 2/9/10 4:34:34 PM

27

PracticeFor 40 hours a week, 50 weeks a year, what hourly wage is 1. equivalent to an annual salary of $34 000?

Mindy is an electrician and Bridget assembles computers.2. Mindy earns $24.50/h and a shift premium of $1.50/h for hours worked after 8 p.m. Last week she worked 45 h, including 5 h Tuesday night.Bridgit earns $6.25 for each computer. How many computers must Bridgit assemble in a week to match Mindy’s gross income for the week?

Suppose you would like to earn at least $300 a week and you 3. have two part-time job offers.

Job A pays $9.25/h, 35 h a week Job B pays $8.10/h, 20 h a week, plus 5% commission on sales of about $3000/week

Which job would you take? Why would you take that job?

The company that Lars works for installing car stereos has 4. changed ownership. He used to earn $12.20/h for a 40 h week. Now he is paid $35 for each stereo he installs and he averages 15 installations a week. Does this change bene�t Lars? Explain.


1150002C01.indd 26 2/9/10 4:34:34 PM

28

Liza is a bank teller earning an annual salary of $35 000. 5. Sasha works as a legal secretary and is paid $15.40/h and double time for hours over 35 each week. How many hours of overtime must Sasha work each week to earn as much as Liza?

Alice manages a big-box store and earns $55 800 a year. 6. This year her company met all sales targets and she will receive a bonus that is 3% of her salary. Jeff installs heating and cooling equipment for $21.75/h and double time for hours worked over 40 h a week. He averages 50 h each week. Who has the higher gross annual income?

Compare the methods of earning income. 7.

If you were a swimming pool installer, would you prefer to a) be paid by salary or piecework? Explain why.

If you were a machine operator, would you prefer to be paid b) an hourly wage plus overtime or a salary? Explain why.


1150002C01.indd 27 2/9/10 4:34:34 PM

29

Marc works for a landscaping company. Last week his gross income was $287. His deductions totalled $45.36. What is Marc’s net income?

1 Subtract Marc’s deductions from his gross income.

$287 – $ = $

2 What is Marc’s net income? $

Calculating Net IncomeCalculating Net Income1.8

i) $340.00 – $36.85 = $ ii) $426.44 – $45.21 – $4.66 = $ iii) $512.55 – ($37.88 + $12.72 + $5.73) = $

Try These

net income

the money left after deductions are taken from gross income; also called take-home pay

Deduction Rate

Income tax

15%

EI 1.73%

CPP 4.95%

Standard Government Deductions

Income Tax a portion of an employee’s earnings that federal and provincial governments use to provide services

Employment Insurance (EI)

a fund that provides a source of income to people who lose their jobs (through no fault of their own) while they look for a new job

Canada Pension Plan (CPP)

a government fund that provides a monthly pension to workers when they retire

Example 1Shannon is the manager of a sporting goods store earning $770 weekly. Calculate her standard deductions.

Solution Income tax: % of $770 = $

EI deduction: % of $770 = $

CPP deduction: % of $770 = $


1150002C01.indd 28 2/9/10 4:34:41 PM

30

Example 2Serge earns a weekly salary of $635 as a computer technician. The deductions from his gross income are shown at the right. What is his net income for a week?

SolutionWhat are Serge’s total deductions?A. $8.70 + $ + $ + $ + $15.75

= $

What is Serge’s net income for a week? B. $635 – $ = $

PracticeShania’s monthly salary is $5208.50, before deductions. 1. Use the chart at the right to determine her standard deductions.

Deductions:EI: $8.70CPP: $31.43Income tax: $95.25Company pension: $19.55Disability insurance: $15.75

Optional Deductions

Company Pension Plan a fund that provides a company pension during retirement, in addition to CPP

Company Health Plan a plan for medical expenses not covered by other government health care plans

Life Insurance a plan that pays a sum of money to a family member or designated bene� ciary in the case of an employee’s death

Disability Insurance a plan that provides a source of income when an employee is injured and unable to work

Union Dues a deduction made when an employee belongs to a union. Unions negotiate wages, bene� ts, and working conditions with employers.

Payroll Savings an option for employees to make a regular contribution to a savings plan, such as Canada Savings Bonds

Charitable Donations an option for employees to make a regular donation to a charity

REFLECTINGWhat are some other possible

deductions that could be

subtracted from Serge’s pay

cheque?

Deduction Rate

Income tax

15%

EI 1.73%

CPP 4.95%


1150002C01.indd 29 2/9/10 4:34:48 PM

31

Gwen’s gross income is $525. Her deductions are shown. 2. Calculate her deductions and her net income.


Name Gross income Deductions Net income

Jill $368.45 $94.16 $

Elise $538.09 $ $412.37

Kandice earns $19.20/h and is paid time and a half for each 4. hour worked over 40 h a week. Last week she worked 43 h.

What is Kandice’s gross income?a)

Use the chart to determine each standard deduction.b)

Kandice also has a payroll savings plan deduction of c) $20/week. What was her net income for last week?

Vee Jay works 40 hours a week. His net income is $344.12. 5. His deductions total $105.88. What is his hourly rate?

Jen is a dentist earning an annual salary of $135 500. Each 6. month, she pays $2925 in income tax. What income tax rate is Jen paying?

DeductionsEI: $9.08CPP: $25.99Income tax: $78.75Life insurance: $11.20

Deduction Rate

Income tax

15%

EI 1.73%

CPP 4.95%


1150002C01.indd 30 2/9/10 4:34:49 PM

32

A wealthy and generous owner of an Internet company offers two options of payment to his new vice president.

Option 1: a monthly salary of $50 000/month paid at the beginning of each monthOption 2: 1¢ the � rst day, 2¢ the second day, 4¢ the third day, 8¢ the fourth day, and so on for the rest of the month, paid on the last day of the month.

Assume there are 30 days in the month.

How can you calculate the vice president’s earnings under A. Option 2?

Compare the monthly earnings for the two options.B.

Which payment option would you take if you were the vice C. president? Why?

Solving a Payment PuzzleA wealthy and generous owner of an Internet company offers two options of payment to his new vice president.

Option 1:

Solving a Payment Puzzle1.9


1150002C01.indd 31 2/9/10 4:34:50 PM

33

a) 1. Name three different ways employees can be paid.

Which payment method allows employees to be paid b) overtime?

Chantelle works 35 h a week at the zoo earning $15.25/h. Her 2. supervisor’s annual salary is $33 280. What is the difference in their weekly gross incomes?

Parma earns 8% straight commission on her monthly sales of 3. beauty products. Last month she sold $24 558 in merchandise. Lalit works in an of� ce earning a weekly salary of $525. Who had the higher gross income for the month?

Rhonda sells peanuts at BC Lions football games. She 4. earns $30 per game plus 15¢ for each bag she sells. She averages about 350 bags sold per game. How much will she earn over the 8 games she works during the season?

Chapter


1150002C01.indd 32 2/9/10 4:34:51 PM

34

Alex works at a variety store earning $10.30/h. He usually 5. works 40 h per week. Last week he worked an extra 8 h shift and earned time and a half. What was Alex’s gross income for the week?

Marissa works 40 h a week earning $12.35/h. Her deductions 6. are shown. Determine her total deductions and her weekly net income.

Karl earns an annual salary of $42 000. 7.

Use the chart to determine each standard deduction.a)

What is Karl’s net weekly income?b)

Name three other types of deductions that might be on an 8. employee’s pay cheque besides the standard government deductions.

How are a bonus, a shift premium, and overtime the same? 9. How are they different?

DeductionsEI: $8.54CPP: $24.45Income tax: $74.10Union dues: $5.20

Deduction Rate

Income tax

15%

EI 1.73%

CPP 4.95%


1150002C01.indd 33 2/9/10 4:34:51 PM

35

How are gross income and net income different?1.

Suppose you would like to earn at least $500 a week and you 2. have two part-time job offers.

Job 1: pays a monthly salary of $2660Job 2: pays $12.30/h for 40 h a week, plus 3% commission on sales of about $4000/week

Which job would you take? Why?

Aariz is a manager of a car sales business earning a yearly 3. salary of $75 200. This year his company met all sales targets and he will receive a bonus that is 2.5% of his salary.

What is Aariz’s gross income?

Vlad works 38 h a week. His net income is $467.15 per week.4. His deductions total $112.35. What is his hourly rate?

Gwen’s weekly gross income is $635. Her weekly deductions 5. are shown. What is her annual net income?

Chapter

DeductionsEI: $10.98CPP: $31.43Income tax: $95.25Company pension:

$50.80


1150002C01.indd 34 2/9/10 4:34:52 PM

36

Title ISBN Price

Nelson Mathematics for Apprenticeship and Workplace 10 Workbook 9780176502713 $19.95

Nelson Mathematics for Apprenticeship and Workplace 10 Teacher’s Edition 9780176504052 $49.95

Prices are subject to change without notice.

Order by phone1-800-268-2222

Order by fax1-800-430-4445

Order by [email protected] web: www.nelson.com

Nelson Education 1120 Birchmount Road Toronto, ON M1K 5G4

Order by mail

Nelson Mathematics for Apprenticeship and Workplace Order Information

Sales RepresentativesBritish Columbia/YukonSusan Loney, Regional Manager1-800-668-0671, Ext. 4429(604) 733-1518 / 1-877-733-1518Fax: (604) 733-1528email: [email protected]

Abbotsford 34, Bulkley Valley 54, Cariboo-Chilcotin 27, Central Coast 49, Chilliwack 33, Coast Mountains 82, Conseil scolaire francophone 93, Distance Education 101, Fraser-Cascade 78, Haida Gwaii/Q Charlotte 50, Langley 35, Nechako Lakes 91, New Westminster 40, Nicola-Similkameen 58, Nisga’a 92, Peace River North 60, Peace River South 59, Powell River 47, Prince George 57, Prince Rupert 52, Quesnel 28, Stikine 87, Vancouver 39

Lynda Parmelee, Territory Manager1-800-668-0671, Ext. 5510(778) 285-4418 Fax: (778) 285-4419 email: [email protected]

Alberni 70, Burnaby 41, Campbell River 72, Comox Valley 71, Coquitlam 43, Cowichan Valley 79, Greater Victoria 61, Gulf Islands 64, Maple Ridge-Pitt Meadows 42, Nanaimo-Ladysmith 68, North Vancouver 44, Qualicum 69, Saanich 63, Sooke 62, Surrey 36, Vancouver Island North 85, Vancouver Island West 84, West Vancouver 45

Randy Arduini, Territory Manager1-800-668-0671, Ext. 2250(604) 464-1515 Fax: (604) 464-1522email: [email protected]

Arrow Lakes 10, Boundary 51, Central Okanagan 23, Delta 37, Fort Nelson 81, Gold Trail 74, Howe Sound 48, Kamloops/Thompson 73, Kootenay Columbia 20, Kootenay Lake 8, Mission 75, Okanagan Similkameen 53, Okanagan Skaha 67, Okanagan-Shuswap 83, Revelstoke 19, Richmond 38, Rocky Mountain 6, Southeast Kootenay 5, Sunshine Coast 46, Vernon 22, Yukon

Ben Minuk, Territory Manager(604) 271-8813 / 1-877-271-8833Fax: (604) 271-2831email: [email protected]

AlbertaJill Nessel, Regional Manager1-800-668-0671, Ext. 5565(780) 416-8660Fax: (780) 467-9079email: [email protected]

Edmonton Public, Edmonton Catholic, Evergreen Catholic, Fort Vermillion, Grande Prairie Roman Catholic, Grande Prairie Public, Grande Yellowhead, Greater St. Albert Catholic, High Prairie, Living Waters Catholic, Northern Gateway, Holy Family Catholic, Northland, Parkland, Peace River, Peace Wapiti, Pembina Hills, St. Albert Protestant, St. Thomas Aquinas Roman Catholic, Sturgeon

Carla Bergmann, Territory Manager1-800-668-0671 Ext. 5620(780) 292-1665 Fax: (780) 960-1479email: [email protected]

Aspen View, Battle River, Black Gold, Buffalo Trail, Calgary Roman Catholic, Chinook’s Edge, Clearview, East Central Alberta Catholic, Elk Island Catholic, Elk Island Public, Fort McMurray, Fort McMurray Catholic, Lakeland Roman Catholic, Northern Lights, Red Deer, Red Deer Catholic, Rocky View, St. Paul, Wetaskiwin, Wild Rose, Wolf Creek

Roger Laycock, Territory ManagerCell: (403) 998-39111-800-668-0671, Ext. 5506(403) 275-7076 Fax: (403) 295-9141email: [email protected]

Calgary Public, Canadian Rockies, Christ the Redeemer Catholic, Foothills, Golden Hills, Grasslands, Holy Spirit Roman Catholic, Horizon, Lethbridge, Livingstone Range, Medicine Hat, Medicine Hat Catholic, Palliser, Prairie Land, Prairie Rose, Westwind

TBA

Saskatchewan, NWT, NunavutJennifer Dow, Territory Manager1-800-668-0671, Ext. 7222(306) 565-0559Cell: (306) 209-2263 Fax: (306) 565-0616email: [email protected]

ManitobaSandra Lamont, Territory Manager1-800-668-0671, Ext. 5503(204) 415-3161 Fax: (204) 415-3261email: [email protected]

Comprehensive supplementary workbooks!Nelson Mathematics for Apprenticeship and Workplace Workbooks are carefully designed to engage students in the real-life contexts of mathematics.

Written at an appropriate reading level•Supports 100% of the outcomes in the new curriculum•Each lesson includes prompts, examples, and •exercises scaffolded in manageable stepsConsistent, easy-to-follow layout•

9 780176 381981

ISBN-13 978-0-17-638198-1ISBN-10 0-17-638198-8

02/10

Nelson Mathematics for Apprenticeshipand Workplace 10–12

To learn more about Nelson Education’s new secondary math resources visit www.nelson.com/wncpmath

See inside back cover for ordering

information.

NEW!

1120 Birchmount Road Toronto ON M1K 5G4

416 752 9448 or 1 800 268 2222 Fax 416 752 8101 or 1 800 430 4445

email: [email protected] www.nelson.com

Coming Spring 2010

Coming Spring 2011

Coming Spring 2012

Spring 2011 Spring 2012

Also from Nelson Education:

Chapter 1: Earning Income WORKBOOK SAMPLERmoney received for work 1.1 Identifying Ways of Earning Income hourly wage a ˜ xed payment for each hour of work Examples: store clerk, fast-food

Documents