Aball is dropped from a height of 30 feet. the ball bounces. after each bounce, the maximum height of the ball is 80% of the previous height. write an nth term formula to model the situation and approximate the maximum height of the ball after 6 bounces.
a. 8 feet 3.5 inches
b. 7 feet 10 inches
c. 9 feet 10 inches
d. 6 feet 3.5 inches

7 feet 10 inches

Step-by-step explanation:

A ball is falling from a height of 30 feet and then it bounces. After each bounce, the maximum height of the ball is 80% of the previous height.

So, after 1st bounce, the maximum height was (0.8 × 30) feet.

Similarly, after 2nd bounce, the maximum height was 0.8(0.8 × 30) feet.

In this way, the maximum height of the ball after nth bounce will be

So, after 6th bounce the maximum height will be feet = 7 feet 10 inches (Appx.)

366

step-by-step explanation: