4. The town of Allen had a population of 32,000 in 2000, and has been growing at 2.2% per year. The town of Berry had a population of 45,500 in 2000, and a population of 49,000 in 2010. (a) Find an exponential model, A(t), for the population of Allen t years after 2000. (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work algebraically and check your answer using regression in Desmos. (c) When did the population of Allen reach 45.000?

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