Constant Rate of Change from Graphs

The graph displays the weight of a gorilla. Describe the change in weight over time.

• The weight decreases at a constant rate. Then the weight remains the same.

• The weight increases at a constant rate. Then the weight remains the same.

• The weight remains the same. Then the weight increases at a constant rate.

• The weight increases at a constant rate. Then the weight decreases at a constant rate.

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 a plausible story for this graph?

• A student was jogging from school to home. She stopped to tie her shoe and take a drink from her water bottle, then continued at the same pace as before.

• A student was jogging from school to home. She walked for a while, then continued jogging.

• A sled rider was going down a hill. The hill was steep at first, then kind of flat. At the end, it was steep again.

• A car was slowing down, then contued moving at a constant rate. Finally, it slowed to a stop,

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y. Complete the statement that describes the rate of change of the water level with respect to time. Move the correct answer to each box. Not all answers will be used. The water level ​ (a)   at a rate of ​ (b)   m/h.

• decreases

• 0.25

• increases

• 1

• 4

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

Find the constant rate of change for this graph.

• 2 lb per person

• 1 lb per person

• 3 lb per person

• 4 lb per person

Choose the correct answer from each drop down menu to complete the statement. The rate of change of y with respect to x for this function is ​ (a)   ​ ​ (b)  

• negative

• positive

• 2

• 4

6.  Quickly increases a a CONSTANT rate.

• B

• C

• A

• F

Choose the correct answer from each drop down menu to complete the statement. The rate of change of y with respect to x for this function is ​ (a)   ​ ​ (b)  

• negative

• positive

• 2

• 4