According to the U.S. Census, the population of Lexington, Kentucky, was 225 thousand in 1990 and 261 thousand in 2000.
a. Find a linear function model P(t) = … that gives the population of Lexington as a function of t, the number of years after 1990.
b. Use your model to predict the population of Lexington in 2003.
c. If the actual population of Lexington in 2003 was 267 thousand, was your answer in (b) a reasonable prediction?
d. Use your model to predict the month of the calendar year in which the population of Lexington grows to 300 thousand.
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