Question

A ball is dropped from a height of 18 feet.The function f(x) = 18(0.75)* gives theheight in feet of each bounce, where x isthe bounce number. What will be theheight of the third bounce to the nearesttenth of a foot?

Answer 1

The height of the third bounce to the nearest tenth of a foot is 7.6 ft

Step-by-step explanation:

The given function:

`f(x)\text{ = }18\mleft(0.75\mright)^x`

f(x) = height in feet of each bounce

x represent the bounce number

For the third bounce, x = 3

replacing x with 3:

`\begin{gathered} f(x)=18(0.75)^3 \\ f(x)\text{ = 18(0.4219)} \end{gathered}`
`\begin{gathered} f(x)\text{ = }7.5942 \\ To\text{ the nearest tenth of foot = 7.6 ft} \end{gathered}`

The height of the third bounce to the nearest tenth of a foot is 7.6 ft