Working with exponential Functions (growth and decay)

Question

You drop a ball from the bleachers which are 22 feet high. Each time the ball bounces, the height decreases by half of the previous height.

A.) identify the variables in this situation

B.) linear or exponential?

C.) is this situation growth or decay?

Answer 1

Use the exponential function f(t) = 22(0.5)^t

a). f(t) = the height of the ball; t = number of times the ball bounces

b). exponential

c). decay because as the number of times the ball is dropped increases, the height decreases