Lesson 12: Using Graphs to Compare Relationships | Unit 2: Introducing Proportional Relationships

Multiple Select

The following graphs show some information about boxes of crayons at a store. One of the graphs shows cost in dollars vs. number of crayons in the box, and one of the graphs shows weight in ounces vs. number of crayons in the box. Which graph is which? Give them the correct titles.

• Graph 1: Cost vs. Number of Crayons

• Graph 1: Weight vs. Number of Crayons

• Graph 2: Cost vs. Number of Crayons

• Graph 2: Weight vs. Number of Crayons

Open Ended

The following graphs show some information about boxes of crayons at a store. One of the graphs shows cost in dollars vs. number of crayons in the box, and one of the graphs shows weight in ounces vs. number of crayons in the box. Which quantities appear to be in a proportional relationship? Explain how you know.

Multiple Choice

The following graphs show some information about boxes of crayons at a store. One of the graphs shows cost in dollars vs. number of crayons in the box, and one of the graphs shows weight in ounces vs. number of crayons in the box. For the proportional relationship, find the constant of proportionality. What does that number mean?

• The constant of proportionality varies based on the points chosen, indicating a non-linear relationship.
• The constant of proportionality indicates the total number of crayons in the box.
• The constant of proportionality is the same for both cost and weight graphs.
• The constant of proportionality is always a fixed value regardless of the points chosen.

Draw

Lin and Andre biked home from school at a steady pace. Lin biked 1.5 kilometers and it took her 5 minutes. Andre biked 2 kilometers and it took him 8 minutes. Draw a graph with two lines that represent the bike rides of Lin and Andre.

Multiple Choice

Lin and Andre biked home from school at a steady pace. Lin biked 1.5 kilometers and it took her 5 minutes. Andre biked 2 kilometers and it took him 8 minutes. For each line, highlight the point with coordinates $$(1,k)$$ and find $$k$$ .

• 3.33
• 5.5
• 4.0
• 2.5

Multiple Choice

Lin and Andre biked home from school at a steady pace. Lin biked 1.5 kilometers and it took her 5 minutes. Andre biked 2 kilometers and it took him 8 minutes. Who was biking faster?

• Lin

• Andre

Multiple Choice

A semi truck can travel 1,300 miles on 200 gallons of fuel. A train can travel 1,000 miles on 2 gallons of fuel. This graph shows the fuel usage in miles per gallon for the two vehicles. Which line represents the semi truck and which represents the train?

• The semi truck is the less steep line, and the train is the steeper line.
• The semi truck is represented by the vertical line, and the train by the horizontal line.

Open Ended

A semi truck can travel 1,300 miles on 200 gallons of fuel. A train can travel 1,000 miles on 2 gallons of fuel. This graph shows the fuel usage in miles per gallon for the two vehicles. Which vehicle uses less fuel to travel the same distance? How can you tell from the graph?