Constant Rate of Change Graphs

Does this table show a proportional relationship?

• Yes 

• No

Which situation could be modeled by the graph?

• the height of a boat as it travels over waves

• the height of a basketball being dribbled down the court

• the speed of a fox chasing a rabbit

• the speed of a subway car as it makes it stops through the city

Denise lives in a circular-shaped neighborhood and goes for a walk. The graph displays the distance Denise is from her house. Describe the change in distance from her house over time.

• Denise walks at a constant rate toward her house. Then she walks at a constant rate away from her house.

• Denise is at her house. Then she walks at a varied rate away from her house. Then she reaches the halfway point opposite her house. Then she walks at a varied rate toward her house. Finally, Denise reaches home.

• Denise is at her house. Then she walks at a constant rate away from her house. Then she reaches the halfway point opposite her house. Then she walks at a constant rate toward her house. Finally, Denise reaches home.

• Denise is at her house. Then she walks at a constant rate away from her house. Then she reaches the halfway point opposite her house. Then she walks at a constant rate away from her house.

A biker is participating in a fundraiser bike ride. The graph displays the distance the biker travels over time as he rides. Describe the graph.

• The distance traveled decreases at a constant rate. Then the biker stops at a rest station for a short time. Then the biker rides along the route at a constant rate, increasing the distance traveled. Finally, the biker stops for the day.

• The biker begins biking along the route at a constant rate. Then the distance traveled decreases at a constant rate. Then the biker continues along the route at a constant rate. Finally, the biker stops for the day.

• The distance traveled remains the same. Then the biker rides along the route at a constant rate. Then the biker stops at a rest station for a short time. Then the biker continues along the route at a constant rate. Finally, the biker stops for the day.

• The biker begins biking along the route at a constant rate. Then the biker stops at a rest station for a short time. Then the distance traveled increases steadily again. The biker stops at another rest station. Then the biker continues on the route one more time at a steady rate. Finally, the biker stops for the day.

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

What type of relationship does this graph show?

• Linear

• Proportional

• Both

• None

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

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