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March 26, 2017

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A city has a population of 30,000 people. Suppose that each year the population grows by 3.7% . What will the population be after 6 years?

i multiplied 30,000 by 6 then 3.7 and got 7425000 i don't think that's the answer i feel like im missing a step..

  • Math - ,

    You certainly are missing a step. Let the growth rate r=1.037

    Year 1: p1 = 30000
    year 2: p2 = p1 * 1.037 = 30000 * 1.037 = 3110
    year 3: p3 = p2 * 1.037 = 31110 * 1.037 = 32261
    Nite that p2 = p1*r
    p3 = p2*r = p1 * r^2
    see a pattern here? No, go back to your text.

    pn = p1 * r^(n-1)

    Now you should be able to get p6

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