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Math Help - Exponential growth

  1. #1
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    Red face Exponential growth

    The population of Windsor is growing at an annual rate of 1.5%. If the current population is 25,000, one function can be used to predict the future population of Windsor is P(t) = 25,000(1.015)t squared where t represents time in years. Use this function to predict the population Of Windsor in 10 years.....


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    Last edited by mr fantastic; February 23rd 2010 at 10:45 PM. Reason: Changed post title
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  2. #2
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    The equation is P(t) = 25,000(1.015)^t

    Now make t = 10 and calculate.

    P(10) = 25,000(1.015)^{10} = \dots
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  3. #3
    Super Member Bacterius's Avatar
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    Oh, what ? I was hoping for a question about formulae that model chunks of cortex flying everywhere

    Anyway, since you know the formula that gives the population of Windsor after t years, just plug in t = 10 years and get the answer with a calculator

    However, would you mind posting the actual formula in LaTeX or at least with the standard mathematical notations (^ for exponentiation, for instance)

    @Pickslides : I think you missed the "t squared" ?
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  4. #4
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    Quote Originally Posted by Bacterius View Post
    @Pickslides : I think you missed the "t squared" ?
    This did occur to me. but when reading the question

    Quote Originally Posted by brianfisher1208 View Post
    The population of Windsor is growing at an annual rate of 1.5%.
    The equation must be as I have shown.

    I think the following

    Quote Originally Posted by brianfisher1208 View Post
    P(t) = 25,000(1.015)t squared
    Is the OP trying to express the variable t as as exponent. As in saying "I want the t to be in the spot the squared usually lives".
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