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    Differential Equations : Rate of Population Growth

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    6. A population grows exponentially. At 10 years, the population is 1,000. At 20 years, it is 2,000. What was the approximate population at 5 years?
    A. 140 B. 250 C. 500
    D. 700 E. 750

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/differential-equations-rate-population-growth-33146

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    Population at time t(years)
    P(t) = Po*exp(k*t)
    where Po = current population
    k = constant

    at t = 10 years,
    P(10) = 1000 ...

    Solution Summary

    Population is found using growth rate. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.

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