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Warm-Up/Final Exam Review Khan Academy Practice: Interpreting Graphs of Linear & Non-Linear Functions Linear Equation Applications Class Work Today:
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January 22, 2015

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Page 1: January 22, 2015

Warm-Up/Final Exam Review Khan Academy Practice:

Interpreting Graphs of Linear & Non-Linear Functions

Linear Equation Applications Class Work

Today:

Page 2: January 22, 2015

Warm-Up:

5. Solve: 12x - (6 + 8x) = ½(6x - 10)

2. Mike, Dave, and Henry share $900 in ransom money in the ratio of 1:2:3. How much does each receive?3. 33/7 + (-2 3/8) 4. If you do something 99.9% of the time, how

many times do you do that thing for each time you do not?

1. Simplify:

Page 3: January 22, 2015

Khan Academy

Page 4: January 22, 2015

Khan Academy nonlinear

11pi1 0

<

Linear/ Nonlinear

Page 5: January 22, 2015

Given this,

what are the x and y axes?

faster 1

67twice

Page 6: January 22, 2015

Khan Academy

4 2

1 30

Page 7: January 22, 2015

Your Journey begins here, at the 6000 ft. level.

Soon, you begin your descent down the mountain. After 5 hours, you are here.What is your rate of change in

elevation? (The slope of your descent.)

The rate should be in ft./hr.

Rate of Change/Slope: Slope is usually represented by the letter m (from the French, monter, which means “to go up”).

500ft./hr.

Page 8: January 22, 2015

1. What are the x and y intercepts of: -x – 4 = y:

Test Review:

( -4,0) (0,-4) ( , ) ( , )

Page 9: January 22, 2015

What is the y-intercept?

Grand Prix Go-Carts: Which graph shows the prices listed?

Page 10: January 22, 2015

Test Review:

Page 11: January 22, 2015

Test Review:

A

BC

D E

Page 12: January 22, 2015

The local park offers 2 different payment options. Option A costs $5 to enter and $3.50 per ride. Option B costs $13 to enter and $1.50 per ride.

1. What is the y-intercept for Option A? For Option B?2. What is the slope for A? For B?3.Option B is a better choice if you plan on riding more than how many rides?

Label the x and y axes

0

Graph both options (plot points)for the cost of entrance and 1-5 rides, then answer the following questions.

Graph Paper

Make a table, if necessary

Page 13: January 22, 2015

As x increases by 30, y increases by 20, so the slope of the line is or .

2030

23

What is slope at beginning of ride?

What is y-intercept?

A roller coaster starts by ascending 20 ft. for every 30 ft. it moves forward. The coaster starts at a point 18 feet above the ground.

Continued

Lastly,Graph Paper,

Pls.

First (always), determine the independent & dependent variables

The line passes through the point (0, 18).

Page 14: January 22, 2015

y – y1 = m(x – x1)The equation of the line the roller coaster travels

along, in point-slope form, is y – 18 = x. Substitute 150 for x to find the value of y.

23

y – 18 = (150)

23 y – 18 =

100

y – 18 = (x – 0)

23

y = 118The value of y is 118, so the roller coaster will

be at a height of 118 feet after traveling 150 feet forward.

Point-Slope FormWrite the equation of the line that the roller coaster travels along in point-slope form, and use it to determine the height of the coaster after traveling in a straight line 150 feet forward. 2

3The Y-intercept (beginning of ride) is (0,18). The slope is

Page 15: January 22, 2015

Class Work 2.12;

Show All Work

Page 16: January 22, 2015