According to the U.S. Census Bureau, the population of Charlotte, North Carolina, was 18 thousand in 1900, and from 1900 to 1950 it grew at the average rate of 2.32 thousand people per year. After 1950, the population of Charlotte grew at the average rate of 6.26 thousand people per year.
a. Find a piecewise-linear function P(t) that gives the population of Charlotte as a function of the year.
b. Use your model to determine the year in which the population oí Charlotte grew to 500 thousand.
c. Based on your model, what was the population of Charlotte in 1980?
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