The population of Birmingham, Alabama, was 266 thousand in 1990 and was decreasing at an average annual rate of approximately 1% throughout the 1990s. Assuming that this rate of decline continues,
a. find a natural growth function P(t) that gives the population of Birmingham as a function of t, years after 1990.
b. use your function model to predict the year in which the population of Birmingham will fall to 220 thousand.
c. Use your function model to predict the population of Birmingham in How does your prediction compare to the actual 2003 population of 236.620?
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