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27 June, 13:00

If a ball is dropped from a height of 18 ft the function f (x) = 18 (0.75) ^xgives the height in feet of each bounce, where x is the bounce number. What will the height of the 7th bounds to the nearest tenth of a foot

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  1. 27 June, 16:40
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    f (7) = 2.4 ft

    Step-by-step explanation:

    Solution:-

    - This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce:

    f (x) = 18 (0.75) ^x

    Where, x e [ 0, ∞) : The number of bounces.

    f (x) : The maximum height after xth bounce.

    - The maximum height reached by the ball after its 7th bounce. So, x = 7:

    f (7) = 18 (0.75) ^7

    f (7) = 2.4027 ft

    - To the nearest tenth:

    f (7) = 2.4 ft
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