Question

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

Answer 1

`43.20ft`

Step-by-step 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((3)/(5))^3 \\ y=43.20ft \end{gathered}`

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