Question

A bouncy ball is dropped such that the height of
its first bounce is 4.75 feet and each successive
bounce is 75% of the previous bounce's height.
What would be the height of the 9th bounce of
the ball? Round to the nearest tenth (if
necessary).

Answer 1

The rate at which the ball drops from the height is an illustration of an geometric sequence

The height of the 9th bounce of the ball is 0.4 feet

How to determine the height of the ball

The given parameters are:

Initial height, a = 4.75

Rate, r = 75%

Bounce, n = 9

The function that represents the height of the ball is:

$H = ar^{n$

So, we have:

$H = 4.75 * (75\%)^{9$

Evaluate

$H = 0.4$ --- approximated

Hence, the height of the 9th bounce of the ball is 0.4 feet

Read more about geometric sequence at:

https://brainly.com/question/12006112