Answer:
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.
