Question

A bouncy ball is dropped such that the height of its first bounce is 6.75

feet and each successive bounce is 68% of the previous bounce's
height. What would be the height of the 6th bounce of the ball? Round
to the nearest tenth (if necessary).

Answer 1

Explanation:

0,4 ft

It can be convinient to let a spreedsheet compute the values for you

Here we have written an expiliclit formula for the height of the 9th bounce

H= 5.5 x 0.64'(n-1)

We have written the formuka this way beacause we are given the height of the firrrst bounce not the satrting height so as you see each bounce multiples the height by a factor of 0,64 then the 7th bounce will be

H= 5.5 x 0.64'6 = 0.378 = 0,4 feet

Hope it helps

Answer 2

Answer: 1

Explanation: