PSABM5UQ - Practice---Acc7.5 Lesson 4 Introduction to Linear Relationships (6.NS.A, 7.RP.A.2.a, 8.EE.B)
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A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80?

 

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part A)

To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.

 

How much would the painting company charge to paint a house that needs 20 hours of labor?

 

Do not include units ($) in your answer.

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

How much would the painting company charge to paint a house that needs 50 hours of labor?

 

Do not include units ($) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

Draw a line representing the relationship between x, the number of hours it takes the painting company to finish the house, and y, the total cost of painting the house. Label the two points from the earlier question on your graph.

 

Draw your graph on paper, take a picture, and upload it using the image upload icon 

 

If you do not have the ability to upload an image of your work type "Graph is on paper."

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Part D)

Find the slope of the line.

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Part E)

What is the meaning of the slope in this context?

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Part A)

Tyler and Elena are on the cross country team.

Tyler's distances and times for a training run are shown on the graph.

 

 

Elena’s distances and times for a training run are given by the equation y=8.5x, where x represents distance in miles and y represents time in minutes.

 

Who ran farther in 10 minutes?

 

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Select one:
Part B)

How much farther?

 

Do not include units (hundredths of a mile) in your answer.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part C)

Explain how you know.

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Part D)

Calculate Tyler's pace in minutes per mile.

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Part E)

Calculate Elena's pace in minutes per mile.

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Part F)

Who ran faster during the training run? 

Select one:
Part G)

Explain or show your reasoning.

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Write an equation for the line that passes through (2,5) and (6,7).

 

Write the equation using the "WIRIS editor" button 

 

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