The height, f(x), of a bouncing ball after x bounces is represented by f(x) = 80(0.5)^x. how many times higher is the first bounce than the fourth bounce?
a.
2
b.
4
c.
6
d.
8

D) 8

Step-by-step explanation:

Given function for height =  f(x) = 80(0.5)^x

It shows that the height of ball after any bounce can be calculated by putting bounce number in place of x in this equation.

so, height after first bounce f(1) is calculated by placing 1 in place of x

f(1) = 80(0.5)^1

f(1) = 80(0.5)

f(1) = 40

Similarly, the height after 4th bounce f(4)

f(4) = 80(0.5)^4

f(4) = 80(0.0625)

f(4) = 5  

Therefore, the height of 1st bounce is 40/5 = 8 times higher than the fourth bounce. So, option D is correct.

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step-by-step explanation: