A ball is dropped from a height of 40 feet. The height of the ball for each bounce is given by the function;
[tex]f(x)=40(0.6)^2[/tex]
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;
[tex]\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}[/tex]
ANSWER:
The height of the fourth bounce is 5.2 feet
The first option is the correct answer
