SOLUTION: Suppose that a ball is dropped from a height of 30ft and that each bounce reaches to 3/8 of the previous height. How high will the ball bounce on the second bounce?

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Question 18396: Suppose that a ball is dropped from a height of 30ft and that each bounce reaches to 3/8 of the previous height. How high will the ball bounce on the second bounce?
Answer by MelanieBCC(40) About Me  (Show Source):
You can put this solution on YOUR website!
The formula to solve this exponential equation is
f%28x%29=C%28a%29%5Ex
where C is the constant, in this case C=30
a is the rate of change, in this case a=3%2F8
and x is the number of times the ball is bounced.
first bounce:
f%281%29=30%2A%283%2F8%29%5E1
f%281%29=11.25
second bounce:
f%282%29=30%2A%283%2F8%29%5E2
f%282%29=4.21875