Philip P. answered • 01/23/19

Affordable, Experienced, and Patient Algebra Tutor

As you might suspect since you're on the chapter on exponential functions, this situation can be modeled with an exponential equation (or a geometric sequence):

**h(n) = a·b**^{n}

- h(n) = height on bounce n
- a = starting height = 512 ft
- b = common ratio = 1/2
- n = number of bounces = 8, where n is an integer

h(n) = 512·(1/2)^{n}

h(8) = 512·(1/2)^{8}

Plug in the numbers and compute the answer.