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Math Help - Average rate of change

  1. #1
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    Average rate of change

    Question: "The population, P, of a small town after t years can be modelled by the function p(t)=0.5t^2+150t+1200, where t=0 represents the beginning of this year.

    a) Write an expression for the average rate of change of the population from t=8 to t=8+h

    b) Use the expression in part a) to determine the average rate of change of the population when h=2.

    Thanks in advance!
    Last edited by mr fantastic; February 25th 2010 at 01:38 AM. Reason: Changed post title
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  2. #2
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    Quote Originally Posted by Hellooo View Post
    Question: "The population, P, of a small town after t years can be modelled by the function p(t)=0.5t^2+150t+1200, where t=0 represents the beginning of this year.

    a) Write an expression for the average rate of change of the population from t=8 to t=8+h

    b) Use the expression in part a) to determine the average rate of change of the population when h=2.

    Thanks in advance!
    The average rate of change between a and b is:

    \overline{R}=\frac{p(b)-p(a)}{b-a}

    CB
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