According to the U.S. Census Bureau, the population of Rochester. New York, was 163 thousand in 1900, and from 1900 to 1950 it grew at the average rate of 3.38 thousand people per year. After 1950, the population of Rochester declined at the average rate of 2.24 thousand people per year.
a. Find a piecewise-linear function P(t) that gives the population of Rochester as a function of the year.
b. Based on your model, what was the population of Rochester in 1932?
c. Use your model to predict the year in which the population of Rochester returns to its 1900 level.
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