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1 June, 09:50

If a superball is bounced from a height of 20 feet, the function

f (x)  20 (0.9) x gives the height of the ball in feet of each bounce,

where x is the bounce number. What will be the height of the

6th bounce? Round your answer to the nearest tenth of a foot.

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Answers (1)
  1. 1 June, 13:05
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    This question is not complete because the function given was not correctly written.

    Complete question:

    If a Super ball is bounced from a height of 20 feet, the function F (x) = 20 (0.9) ˣ gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 6th bounce? Round your answer to the nearest tenth of a foot.

    Answer:

    The height of the ball after the sixth bounce to the nearest tenth of a foot = 10.6 feet

    Step-by-step explanation:

    Function representing the height of a ball in the question

    F (x) = 20 (0.9) ˣ

    x = number of times which the ball has been bounced In the question, we are given x as 6 times

    The height after the 6th bounce is calculated as =

    F (x) = 20 (0.9) ˣ

    F (x) = 20 (0.9) ⁶

    F (6) = 20 * 0.531441

    F (6) = 10.62882 feet

    Approximately to the nearest tenth = 10.6 feet.

    Therefore, the height of the ball after the 6th bounce in feet to the nearest tenth is 10.6 feet.
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