Question

If a ball is dropped from a height of 18 feet, the function f(x) = 18(0.75)* gives the height

in feet of each bounce, where x is the bounce number. What will be the height of the
7th bounce to the nearest tenth of a foot?

Answer 1

2.4 feet

Explanation:

Answer 2

At the 7th bounce, the ball reached 2.3 feet height.

Explanation:

The given expression is

`f(x)=18(0.75)^(x)`

This exponential function represents the movement of a bouncing ball after being dropped.

`x` represents the bounce number.

So, at 7th bounce means
`x=7`, replacing this value in the function, we have

`f(7)=18(0.75)^(7)=18(0.13) \approx 2.34`

Therefore, at the 7th bounce, the ball reached 2.3 feet height.