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15 January, 11:17

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

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  1. 15 January, 11:21
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    Answer: 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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