Math

The population of a town in 1920 was 3500 people. The town's population decreased linearly, and in 1927 the population was 3185. Find a formula for P, the town's population, in terms of t, the number of years since 1920.

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  1. find rate of change:
    (3500 - 3185)/(1920 - 1927)
    rate of change = 315/-7
    = -45

    so P = -45t + b
    when t = 0, P = 3500
    3500 = 0 + b
    b = 3500

    P = -45t + 3500

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