Let f(t) be the population (in thousands of people) of Math City, as a function the time t (in years), where t= 0 corresponds to the year 2020. In 2020, the population was 34000, and each year the population increases by 3000 people. (a) Model the population by finding a formula for f(t). (b) Evaluate the expression f(6), and write a sentence explaining what this means. (c) Solve the equation f(t) = 64, and write a sentence explaining what this means.

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