Do Now: 1/28/13 James earns a daily salary of $115, plus a monthly bonus of $100. Alan is paid according to the equation y = 110x +125, where y is the amount of monthly pay for x days worked. Create an equation for James’ monthly income. Compare and contrast the slopes and y-intercepts from both James and Alan’s equations. Who has the greater rate of change?
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Do Now: 1/28/13James earns a daily salary of $115, plus a monthly bonus of $100. Alan is paid according to the equation y = 110x +125, where y is the amount of monthly pay for x days worked.
Create an equation for James’ monthly income. Compare and contrast the slopes and y-intercepts from both James and Alan’s equations. Who has the greater rate of change?
Do Now: 1/29/13Jeremy graphs a line. Points on Jeremy’s line include (5, 7), (4, 5), (2, 1), (0, –3), and (–2, –7). What is the equation of Jeremy’s line?
A. y = –2x – 3B. y = –x + 2C. y = 2x – 3D. y = x – 2
Do Now: 1/30/13Bailey sells cotton candy at festivals in the summer. She sells 2 bags of cotton candy for $2.50, 3 bags for $3.75, and 4 bags for $5.00. Bailey tells her math teacher that the function c = n + 1.25 can be used to represent the cost of bags of cotton candy, where c is the cost and n is the number of bags of candy.
Does the relationship between the prices for cotton candy and number of bags sold at each price represent a linear function? Explain your answer. Is the function that Bailey wrote correct? If it is, explain why it is correct. If it is not correct, write and explain a correct function.
Do Now: 1/31/13Jana said that in each situation described below the data would represent a linear function. For each situation, determine whether she is correct or not and explain your reasoning.A.) The number of tickets ordered versus the total cost if all the tickets were the same price and there was one handling fee for the entire order B.) A child’s age versus the child’s height C.) The number of minutes that a car is left in a parking garage versus the parking fee if it cost $1 per hour or a fraction of an hour to park there D.) The number of objects, each weighing the same, that are placed one by one on a scale versus the weight registered on a scale
Do Now: 2/1/13Sarah says that a linear equation contains the points (4, 5), (–3, 5), and (5, 0). Which statement is true?A. Sarah is correct because all three points lie on
the same line.B. Sarah is incorrect because all three points do
not lie on the same line.C. Sarah is correct because all three points contain
5 as one of the coordinates.D. Sarah is incorrect because all three points do
not have the same x-coordinate.
• What does it mean when a company, such as a cab company charges an initial fee of $2.50 and then an additional $0.50 per mile?
Cell Phone Plans!Your parents are looking into switching cell phone companies. Your parents find a company called Wireless Access which offers a plan that will charge your parents $0.35 per phone call with an additionally monthly fee of $50. How will you decide if this plan is affordable??
Present!• Choose two people from your group to present• Speak clearly• Look at the class• Be sure to include explanation of the meaning of
the slope and y-intercept in the context of the problem.
Does it make sense…
• To make ½ a phone call? • Or a negative phone call?
NO!Not all functions are continuous!
Day at The Races!• Your table is your team• Write all 4 of your names on the post-it note• Your team will go through your packet. – After you complete a “letter,” I will check your work– If it’s correct, you can move up the “race” to the next
letter
Day at the Races!
A B C D E FG H I
J K LM N
Whiteboard Wipeout!• I will put one equation up on the board• On the graph side of your whiteboard, graph
the equation• When I call “time,” hold your boards up.• This activity will be graded by participation.• Each time you do not hold up your graph or
complete an equation, you will lose 10 points.
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Ready, Set, GRAPH!
Equation Roundup!Objective: Guess your equation!• You will have an equation on your back• You will travel around the room• You will ask every person you meet one question
about your graph• Write down your clues
Exit Ticket
1. Summarize what the slope and y-intercept represent in a word problem. (2-3 sentences)
2. Come up with another real-world scenario, besides a cell phone plan, where there would be a slope and y-intercept to describe the context of the problem.
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