Question

What is the height of the fourth bounce to the nearest tenth of a foot?

Answer 1

A ball is dropped from a height of 40 feet. The height of the ball for each bounce is given by the function;

`f(x)=40(0.6)^2`

Where the variable x represents each bounce, we can determine the height at the fourth bounce by substituting 4 into the function, as shown below;

`\begin{gathered} f(x)=40(0.6)^x \\ \text{Where;} \\ x=4 \\ f(4)=40(0.6)^4 \\ f(4)=40(0.1296) \\ f(4)=5.184 \\ f(4)=5.184 \\ \text{Rounded to the nearest tenth;} \\ f(4)=5.2 \end{gathered}`

ANSWER:

The height of the fourth bounce is 5.2 feet

The first option is the correct answer