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Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 4

Last updated 11 months ago

7 questions

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Question 1

1.

A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies. EZ Excavation gives its prices in a table. Happy Hauling Service gives its prices in a graph.
How much would each hauling company charge to haul 40 cubic yards of dirt?

Question 2

2.

A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies. EZ Excavation gives its prices in a table. Happy Hauling Service gives its prices in a graph.
Calculate the rate of change for each relationship. What do they mean for each company?

Question 3

3.

A contractor must haul a large amount of dirt to a work site. She collected information from two hauling companies. EZ Excavation gives its prices in a table. Happy Hauling Service gives its prices in a graph.
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire?

Question 4

4.

Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya writes the equation y = 118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andre and Priya each walk for a total of 5 hours.

Who walks more steps? How many more?

Question 5

5.

Find the coordinates of point D in the diagram:

Question 6

6.

Find the coordinates of point D in the diagram:

Question 7

7.

Select all the pairs of points so that the line between those points has slope \frac{2}{3}.

(0, 0) and (2, 3)

(20, 30) and (-20, -30)

(-2, -2) and (4, 2)

(1, 5) and (4, 7)

(0, 0) and (3, 2)

"Source: Open Up Resouces (Download for free at openupresources.org.)"