Bouncey Ball

A rubber ball is dropped from various heights. The heights of the first four bounces are recorded in the table below.

	Initial Height	10 m	30 m	45 m
Bounce	First	6.67 m	20 m	30 m
	Second	4.44 m	13.33 m	20 m
	Third	2.96 m	8.89 m	13.33 m
	Fourth	1.98 m	5.93 m	8.89 m

How is the height of the ball's bounce related to the height of the previous bounce? Write a number sentence to show this relationship.

If I dropped a ball from 600 m what would be height of the fourth bounce?

What height would I have to drop a ball from if I wanted the fourth bounce to be 30 meters?

Relevant InterMath investigations:
Hot Air Balloons : Determine the height of a hot air balloon over time based on a recursive condition.