SOLUTION: A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the height of the ball after it makes its third bounce?

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Question 1010995: A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the height of the ball after it makes its third bounce? Round to the nearest hundredth of a foot.










A)
0.47 feet


B)
9.49 feet


C)
12.66 feet


D)
16.88 feet

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
After each bounce the ball is .75 of its previous height...therefore we can write, for height after bounce number b,
h(b) = 30(.75)^b
h(3) = 30(.75)^3
h(3) = 12.66 feet
Choice C.