2870.11 – Levy's Basketball

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 from which he dropped it. 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. See the table below. After the 7th bounce, the ball fails to reach a height of two feet.