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anonymous

  • one year ago

Quick QUESTION! A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce: f(n) = 9(0.7)^n What does the number 0.3 represent?

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  1. anonymous
    • one year ago
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    (A) The ball bounces to 30% of its previous height with each bounce (B) The height at which the ball bounces at the nth bounce is 0.3 feet (C) The ball bounces to 70% of its previous height with each bounce (D) The height from which the ball was dropped at the nth bounce is 0.7 feet

  2. anonymous
    • one year ago
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    @jim_thompson5910 This is a quick question. Is the answer A?

  3. jim_thompson5910
    • one year ago
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    I don't see 0.3 in f(n) = 9(0.7)^n

  4. anonymous
    • one year ago
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    Yeah me neither. But could it be A though? Since this is decreasing, it would be by 30%

  5. jim_thompson5910
    • one year ago
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    when n = 0, what is f(n)

  6. anonymous
    • one year ago
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    9

  7. jim_thompson5910
    • one year ago
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    and when n = 1, f(n) = ??

  8. anonymous
    • one year ago
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    6.3

  9. jim_thompson5910
    • one year ago
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    so what change happened from 9 to 6.3

  10. anonymous
    • one year ago
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    70%

  11. jim_thompson5910
    • one year ago
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    you took 70% of 9, yes

  12. anonymous
    • one year ago
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    right

  13. jim_thompson5910
    • one year ago
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    that means each next height is 70% of the previous height

  14. jim_thompson5910
    • one year ago
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    which is why I'm thinking they meant to say 0.7 instead of 0.3

  15. anonymous
    • one year ago
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    Oh ok! Thank you! It was probably a typo

  16. jim_thompson5910
    • one year ago
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    yeah if it said "the ball loses 30% of its height each bounce", then it would work

  17. jim_thompson5910
    • one year ago
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    since 100% - 30% = 70%

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