Question

A ball is dropped from a height of 16 feet. The function f(x)=16(0.67)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the second bounce rounded to the nearest tenth of a foot?

Answer 1

Explanation:

This is an exponential function:

`y=16((2)/(3))^x` that tells us that the initial height of the ball is 16 feet and that after each successive bounce the ball comes up to 2/3 its previous height. We are looking for y when x = 2, so

`y=16((2)/(3))^2` and

`y=16((4)/(9))` and

`y=(64)/(9)` so

y = 7.1 feet