The height of the third bounce to the nearest tenth of a foot is 7.6 ft
Explanation:
The given function:
[tex]f(x)\text{ = }18\mleft(0.75\mright)^x[/tex]
f(x) = height in feet of each bounce
x represent the bounce number
For the third bounce, x = 3
replacing x with 3:
[tex]\begin{gathered} f(x)=18(0.75)^3 \\ f(x)\text{ = 18(0.4219)} \end{gathered}[/tex][tex]\begin{gathered} f(x)\text{ = }7.5942 \\ To\text{ the nearest tenth of foot = 7.6 ft} \end{gathered}[/tex]
The height of the third bounce to the nearest tenth of a foot is 7.6 ft
