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Math Help - Population

  1. #1
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    Population

    Can anyone help me with this.

    The population P of a city increases according to the formula

    P = 5000e at

    Where t is in years and t = 0 corresponds to 1980. In 1990, the population was 10000. Find the value of the constant a and approx your answer to 3 dec places.
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  2. #2
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    Quote Originally Posted by Wildman View Post
    Can anyone help me with this.

    The population P of a city increases according to the formula

    P = 5000e at
    Use "^" to show powers: P= 5000 e^(at)

    Where t is in years and t = 0 corresponds to 1980. In 1990, the population was 10000. Find the value of the constant a and approx your answer to 3 dec places.
    Put in the values you are given: 1990- 1980= 10 so t= 10:
    10000= 5000e^(10a)

    Solve that for a. You will, of course, need to use the natural logarithm.
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  3. #3
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    Quote Originally Posted by Wildman View Post
    Can anyone help me with this.

    The population P of a city increases according to the formula

    P = 5000e at

    Where t is in years and t = 0 corresponds to 1980. In 1990, the population was 10000. Find the value of the constant a and approx your answer to 3 dec places.
    I confirm that.
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