A bacteria culture starts with 100 bacteria and grows at a rate proportional to its size. After 2 hours there will be 200 bacteria. (a) Express the population Pafter t hours as a function of t. P(t)= (b) What will be the population after 7 hours? bacteria (c) How long will it take for the population to reach 1990? Give your answer accurate to at least 2 decimal places. hours

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