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28. Suppose that the population of a town is increasing continuously. In 1995, the population was 68,000, and in 2011, the population was 84,000. a)

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28. Suppose that the population of a town is increasing continuously. In 1995, the population was 68,000, and in 2011, the population was 84,000. a) Find an exponential function of the form P(t) = poekt to model the town's population P, where po is the initial population in 1995 and t is the number of years since 1995. Round k to four decimal places. (Hint: You must solve for k when P = 84,000, Po = 68,000, and t = 16.) b) Use your function from Part (a) to estimate the population of the town in the year 2022. Round to the nearest whole number. c) Use your function from Part (a) and logarithms to determine in which year the population is expected to reach 200,000. Round to the nearest year

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