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anonymous

  • one year ago

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, ft, in feet, at different times t in seconds: f(t) = -16t2 + 32t + 90 The average rate of change of f(t) from t = 4 seconds to t = 6 seconds is _____ feet per second.

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  1. anonymous
    • one year ago
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    @Jamierox4ev3r

  2. Vocaloid
    • one year ago
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    we'll be using the formula for average rate of change [f(6)-f(4)] / (6-4) so, first start by finding f(6)-f(4) = ?

  3. anonymous
    • one year ago
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    6-4=2 @Vocaloid

  4. Vocaloid
    • one year ago
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    not quite f(t) = -16t^2 + 32t + 90 f(6) = ?

  5. anonymous
    • one year ago
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    oh!! 90? @Vocaloid

  6. Vocaloid
    • one year ago
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    almost, but not quite... t = 6 -16t^2 = ?

  7. Vocaloid
    • one year ago
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    ^ means exponent

  8. anonymous
    • one year ago
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    whoops i wrote it down wrong on my paper hold on @Vocaloid

  9. anonymous
    • one year ago
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    i got 858? @Vocaloid

  10. anonymous
    • one year ago
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    forgot the negative ugh hold on

  11. anonymous
    • one year ago
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    -294**** @Vocaloid

  12. Vocaloid
    • one year ago
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    good, so f(6) = -294 now find f(4)

  13. anonymous
    • one year ago
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    how do i do that?

  14. anonymous
    • one year ago
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    @Vocaloid

  15. Vocaloid
    • one year ago
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    using the same method you just did, just set t = 4 instead of 6

  16. anonymous
    • one year ago
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    okay hold on

  17. anonymous
    • one year ago
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    -38 @Vocaloid

  18. Vocaloid
    • one year ago
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    good, now plug everything back into our formula {f(6)-f(4)] / (6-4)

  19. anonymous
    • one year ago
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    so -294+38? @Vocaloid

  20. Vocaloid
    • one year ago
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    that's part of it the numerator is f(6) - f(4) = -294+38 and the denominator is (6-4) so divide the numerator by the denominator

  21. anonymous
    • one year ago
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    so -256/2?

  22. Vocaloid
    • one year ago
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    yes

  23. anonymous
    • one year ago
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    -128?

  24. anonymous
    • one year ago
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    is that right?

  25. anonymous
    • one year ago
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    @Vocaloid

  26. Vocaloid
    • one year ago
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    yup

  27. anonymous
    • one year ago
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    so the final answer is -128?

  28. anonymous
    • one year ago
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    @Vocaloid

  29. Vocaloid
    • one year ago
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    yes

  30. anonymous
    • one year ago
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    AWESOME THANK YOU SO MUCH, how do i give u a medal? @Vocaloid

  31. Vocaloid
    • one year ago
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    click "best response" next to my name thanks, I'm glad I could be of service

  32. anonymous
    • one year ago
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    never mind got it!

  33. anonymous
    • one year ago
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    thanks so much honesttly !

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