According to the U.S. Census Bureau, the population of San Francisco was 775 thousand in 1950, and from 1950 to 1980 it declined at the average rate of 3.2 thousand people per year. After 1980, the population of San Francisco grew at the average rate of 4.9 thousand people per year.
a. Find a piecewise-linear function P(t) that gives the population of San Francisco as a function of the year.
b. Based on your model, what was the population of San Francisco in 1975?
c. Use your model to determine the year in which the population of San Francisco returned to its 1950 level.
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