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1 March, 23:06

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

+4
Answers (1)
  1. 2 March, 01:21
    0
    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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