I Will Mark it the brainiest

A bouncy ball is dropped such that the height of its first bounce is 3.5 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).

For this case, what we should do is write an equation of the potential type:

y = A * (b) ^ x

Where,

A: initial height

b: decrease rate of initial height

x: number of bounces.

We have then:

y = 3.5 * (0.75) ^ x

For the ninth bounce:

y = 3.5 * (0.75) ^ x

y = 0.26

Answer:

The height of the 9th bounce of the ball is:

y = 0.26 feet.