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The rate of natural increase of the population of a certain city is proportional to the population

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The rate of natural increase of the population of a certain city is proportional to the population. In 1977, the population was 40,000 and in 2017 it was 60,000. (a) If y is the population t years since 1977, express y as a function of t. (b) Calculate what the population will be in 2023. (c) Estimate when the population will be 80,000.