### 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 ✎

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.

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 |

0 | 800 cm |

1 | 475 cm |

2 | 290 cm |

3 | 175 cm |

4 | 100 cm |

5 | 60 cm |