Algebra 1 Common Core Student Edition, Grade 8-9

10. Copy and complete the table for each of the three graphs.

Activity 2

Use the graphs below to answer Exercises 10-14.

Linear Quadratic Exponential

Oto 1

1 to 2

2 to 3

3 to 4

4 to 5

11. What do you notice about the average rate of change for the linear function?


12. What do you notice about the average rate of change for the quadratic function?


13. What do you notice about the average rate of change for the exponential function?


14. Compare the average rate of change for the quadratic function and the
    exponential function. Which average rate of change increases more quickly?

Ex e r c i se s

Two people are running along parallel, straight tracks. Person A slowly increases

his speed while Person B runs at a constant speed. The graph shows the distance

each person has traveled at t seconds. Use the graph to answer Exercises 15-18.

15. At what times have both runners traveled the same
    distance? Justify your answer using the graph.


16. Copy and complete the table for each runner.


17. What is the average speed of each person
    during the interval 0 s to 4 s?

0 s to 1 s

1 s to 2 s

18. During which time interval do Person A and
    Person B have the same average speed?

2 s to 3 s

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3 s to 4 s Time (s)

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