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Home > CCA > Chapter 5 > Lesson 5.2.1 > Problem 5-49

5-49.

Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table below shows their data. Note that the 0 in the “Bounce” column represents the starting height. Homework Help ✎

  1. To what family does the function belong? Explain how you know.

    Look for a multiplier that will approximate the table entries.

    The function is exponential, because the ratio of one rebound is roughly constant.

  2. Show the data as a sequence. Is the sequence arithmetic, geometric, quadratic, or something else? Justify your answer.

    The function is roughly geometric, even though it is not exact.

Bounce

Rebound
Height

0

800 cm

1

475 cm

2

290 cm

3

175 cm

4

100 cm

5

60 cm