Posted by **Sam-bo.** on Saturday, June 12, 2010 at 4:54pm.

Solve.

The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke^0.12t where k is a constant and t is the time in years. If the current population is 15,000, in how many years is the population expected to be 37,500? (Round to the nearest year.)

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