Question

When a ball is dropped the function fr) = 4(0.6) models the ball's height in feet after each bounce, where x is the bounce number. To the nearest hundredth,what is the height after the third bounce?1.80 ft0.8618.64 ftD 7.20 ft

Answer 1

$f(x)=4(0.6)^3$

Evaluate the function when x=3 (third bounce)

$\begin{gathered} f(3)=4(0.6)^3 \\ f(3)=4(0.216) \\ f(3)=0.864 \\ \\ f(3)\approx0.86 \end{gathered}$

Answer: 0.86 ft