Bounce number versus height for a ball

golf ball drop and bounce with meter stick diagram
A diagram of the first three bounces of a ball

Question: If the ball is always dropped from 100 cm, is there a mathematical relationship between the bounce number and the bounce height for that bounce?

Procedure

The ball will always be dropped from a height of one hundred centimeters (one meter). This height is called "bounce number zero." Measure the height of the first bounce. Measure the height of the second bounce, third bounce, fourth bounce, and so forth up to the tenth bounce (if possible).

Measure the bounce heights in centimeters.

Data table

Bounce number [x]	Bounce height (cm)
0	100
1
2
3
4
5
6
7
8
9
10

Graph

Make an xy scattergraph using spreadsheet software. Add a trend line, choose an exponential function for the trend line.

If you were given a bounce number, like the fourteenth bounce, could you calculate a mean bounce height from the exponential equation?
Can you predict the total number of bounces until the ball stops bouncing?
Can the equation predict the total number of bounces?
Why does the ball stop bouncing?