Lesson 04: Comparing Proportional Relationships | Unit 3: Linear Relationships

Open Ended

A contractor must haul a large amount of dirt to a worksite. She collected information from two hauling companies.

How much would each hauling company charge to haul 40 cubic yards of dirt? Explain or show your reasoning.

Multiple Choice

What is the rate of change for each hauling company based on the given data?

• {"EZ Excavation": 24.5, "Happy Hauling Service": 10}
• EZ Excavation: 30.5
• Happy Hauling Service: 15
• EZ Excavation: 20.0

Open Ended

A contractor must haul a large amount of dirt to a worksite. She collected information from two hauling companies.

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.

Multiple Choice

Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6,000 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?

• Andre walks 600 more steps than Priya.
• Priya walks 600 more steps than Andre.
• Both walk the same number of steps.
• Andre walks 1,200 more steps than Priya.

Multiple Choice

What is Elena's pace in minutes per mile if her distances and times for a training run are given by the equation $$y=8.5x$$ ?

• 8.5 minutes per mile
• 10 minutes per mile
• 7 minutes per mile
• 9 minutes per mile

Open Ended

Who ran faster during the training run? Explain or show your reasoning. 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.

Multiple Choice

For Recipe 1, how much flour is needed if 6 cups of water are used?

• 6 cups
• 12 cups
• 9 cups
• 15 cups

Multiple Choice

For Recipe 2, how much flour is needed if 6 cups of water are used?

• 10 cups
• 12 cups
• 18 cups
• 15 cups

Multiple Choice

For Recipe 1, how much water is needed if 5 cups of flour are used?

• 1.67 cups
• 1 cup
• 2 cups
• 3.5 cups

Multiple Choice

For Recipe 2, how much water is needed if 5 cups of flour are used?

• 4 cups
• 3 cups
• 2 cups
• 1 cup