Question

A ball is dropped from a height of 24 feet. The

ball bounces to 85% of its previous height with
each bounce. Write an expression and solve to
find how high (to the nearest tenth of a foot) the
ball bounces on the sixth bounce.

Answer 1

The height of the ball after each bounce can be represented as:

After the first bounce: 24 * 0.85 = 20.4 feet

After the second bounce: 20.4 * 0.85 = 17.34 feet

After the third bounce: 17.34 * 0.85 = 14.74 feet

After the fourth bounce: 14.74 * 0.85 = 12.53 feet

After the fifth bounce: 12.53 * 0.85 = 10.65 feet

After the sixth bounce: 10.65 * 0.85 = 9.05 feet

Therefore, the ball bounces to a height of about 9.1 feet on the sixth bounce.