Question

How high will it rise after the third bounce? Round your answer to the nearest hundredth.Ft?

Answer 1

ANSWER

$43.20ft$

EXPLANATION

The height of the ball can be described by an exponential function.

The general form of an exponential function is:

$y=a\cdot b^x$

In this case:

y = height of ball after every x bounces

a = initial height of ball = 200 ft

b = exponential factor = 3/5

x = number of bounces

Therefore, after the third bounce, the height that the ball will rise to is:

$\begin{gathered} y=200\cdot(\frac{3}{5})^3 \\ y=43.20ft \end{gathered}$

That is the height of the ball after the third bounce.