Levy Witherspoon is the star center of the boys’ varsity basketball team. If he drops the ball, it will bounce back to 8/10 of the height that he dropped it from. Levy reaches overhead and drops the ball from a height of eight feet. How many times will it bounce before it bounces up less than two feet (approximately the height of Levy’s knees)?
Since the rebound is 8/10 of the former height, we can just start multiplying by 0.8.
| Bounce | Height |
| 0 | 8′ |
| 1 | 6.4′ |
| 2 | 5.12′ |
| 3 | 4.1′ |
| 4 | 3.28′ |
| 5 | 2.62′ |
| 6 | 2.1′ |
| 7 | 1.68′ |
So after the 7th bounce, the ball fails to reach a height of two feet.