### Home > CC4 > Chapter 8 > Lesson 8.1.4 > Problem 8-59

8-59.

Jeffe and Tomas collected the following data for a bouncing basketball. What is their rebound ratio as a percent? Write a model for their data and then sketch a graph of the situation. Homework Help ✎

Bounce number (

*x*)1

2

3

4

Height, cm (

*y*)80

64

51

41

Look at the ratios of the successive *y*-values.

Use the general form of an exponential equation: *y = a•b ^{x}*. The parameter,

*b*, is the constant ratio, 0.8.

To find the

*a*-value, find the 0

^{th}term.

To find the 0^{th} term, divide the first term, 80, by 0.8