The population of Libertyville was 227 thousand in 2000 and was decreasing at an average rate of 2.3 thousand people per year.
a. Find a linear population model P(t) that gives the population of Libertyville as a function of the number of years after 2000.
b. According to your model, what was the population of Libertyville in 2005?
c. Use your model to predict the year in which the population of Libertyville falls to 200 thousand.
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