Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Predict the population?

The population of Glenbrook is 375,000 and is increasing at the rate of 2.25% per year. Predict when the population will be 1 million.

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  • Anonymous
    1 decade ago
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    Population growth problems are usually done by using the exponential equation

    P = Po(e^-kt)

    where

    P = population at any time "t"

    Po = initial population = 375,000 (given)

    k = exponential constant = 0.0225 (given)

    t = time

    Given the above data, the equation is modified to

    P = 375,000(e^-0.025t)

    And when P = 1,000,000, the above becomes

    1,000,000 = 375,000(e^-0.0225t)

    2.667 = e^0.0225t

    Taking the natural logarithm of both sides,

    ln (2.667) = 0.0225t (ln e)

    Since ln e = 1 and solving for "t",

    t = (1/0.0225)(ln 2.667)

    t = 43.6 years

    t = 43 years and 7 months ~

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