### Home > INT1 > Chapter 5 > Lesson 5.2.1 > Problem5-46

5-46.

Chelsea dropped a bouncy ball off the roof while Nery recorded its rebound height. The table at right shows their data.

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.

1. Write the data as a sequence. Is the sequence arithmetic, geometric, or something else? Justify your answer.

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

Bounce

Rebound Height

$1$

$475$ cm

$2$

$290$ cm

$3$

$175$ cm

$4$

$100$ cm

$5$

$60$ cm