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Math Help - average rate of change

  1. #1
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    average rate of change

    Let
    f(x)=5 x2+2 x−3 and let x0= 1.


    The average rate of change of f between x= 1 and x= 1.18 equals ?
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  2. #2
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    Quote Originally Posted by samtheman17 View Post
    Let
    f(x)=5 x2+2 x−3 and let x0= 1.


    The average rate of change of f between x= 1 and x= 1.18 equals ?
    I assume your function is

    f(x) = 5x^2 + 2x - 3.


    You have f(1) = 5(1)^2 + 2(1) - 3

     = 5 + 2 - 3

     = 4


    Also f(1.18) = 5(1.18)^2 + 2(1.18) - 3

     = 6.962 + 2.36 - 3

     = 6.322.


    The average rate of change will be given by

    \frac{f(1.18) - f(1)}{1.18 - 1}

     = \frac{6.322 - 4}{0.18}

     = \frac{2.322}{0.18}

     = 12.9.
    Last edited by Prove It; September 27th 2009 at 10:31 AM.
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  3. #3
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    ok, thank you so much!

    that really helped

    (ps.anwser is 12.9 as 1.18-1 is .18 not 1)
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