According to the U.S. Census Bureau, the population of Tucson, Arizona, was 45 thousand in 1950, and from 1950 to 1970 it grew at the average rate of 10.9 thousand people per year. After 1970, the population of Tucson grew at the average rate of 7.5 thousand people per year.
a. Find a piecewise-linear function P(t) that gives the population P of Tucson as a function of the year t.
b. According to your model, in what year did the population of Tucson reach 100 thousand?
c. Use your model to predict the population of Tucson in 2010.
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