The height that a ball bounces varies directly as the height

The height that a ball bounces varies directly as the height from which it was dropped. A tennis ball dropped from 12 inches bounces 8.4 inches. From what height was the tennis ball dropped if it bounces 56 inches?

Solution

height that a ball bounces varies directly as the height from which it was dropped

So, we can write the relation as h = kx where x is the height from which it was dropped.

8.4 = 12k ---> k = 8.4/12 =0.7

h = 0.7x

h=56 inches we find x.So, 56 = 0.7x

x= 80inches . ball was dropped from 80 inches when it bounces to 56 inches