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    Question

    A townтАЩs population increases by 10% in the first year

    and by 20% in the second year. If the population at the end of the second year is 39,600, find the population at the beginning of the first year.
    A 30,500 Correct Answer Incorrect Answer
    B 20,000 Correct Answer Incorrect Answer
    C 30,000 Correct Answer Incorrect Answer
    D 10,200 Correct Answer Incorrect Answer

    Solution

    Overall factor = 1.10 ├Ч 1.20 = 1.32 Let initial population = P P ├Ч 1.32 = 39,600 P = 39,600 / 1.32 1.32 = 132/100 P = 39,600 ├Ч 100 / 132 = 3,960,000 / 132 132 ├Ч 30,000 = 3,960,000 So P = 30,000 Answer: Initial population = 30,000.

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