Unit 3, Lesson 4
Comparing Proportional Relationships
Grade 8
Practice
Problem 1
A contractor must haul a large amount of dirt to a worksite. She collected information from two hauling companies.
EZ Excavation gives its prices in a table.
| dirt (cubic yards) |
cost (dollars) |
|---|---|
| 8 | 196 |
| 20 | 490 |
| 26 | 637 |
Happy Hauling Service gives its prices in a graph.
- How much would each hauling company charge to haul 40 cubic yards of dirt? Explain or show your reasoning.
- Calculate the rate of change for each relationship. What do they mean for each company?
- If the contractor has 40 cubic yards of dirt to haul and a budget of \$1,000, which hauling company should she hire? Explain or show your reasoning.
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Problem 3
The points \((2,1), (x,y), A\), and \(B\) all lie on the displayed line. Find an equation for the line.
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Problem 4
Calculate the slope of each line.
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