Before a basketball game a referee noticed that the ball seemed under inflated. She dropped it from 6 feet and measured the first bounce as 36 inches and the second bounce as 18 inches. Write an exponential function to model the height of the ball.

Part B:how high was the ball at the fifth bounce

a) H = h( 0.5 )^n

b) H = 1.125inches

Step-by-step explanation:

Let H = height of the ball

n = number of time the ball bounces

h = initial height.

The exponential function to model the height of the ball will be:

H = h( 1 - 0.5)^n

H = h( 0.5 )^n

It's minus because the height of the ball is decreasing.

h = 36 inches

n = 5

H = 36( 1 - 0.5 ) ^5

H = 36( 0.5 )^5

H = 36 × 0.03125

H = 1.125inches

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