Suppose that a population of insects for an experiment increases according to the law of exponential growth, i.e. the number of insects y changes with respect to time t (in days) according to dy = ky; y(0) = C. dt There were 60 insects at the start of the experiment and 120 insects 4 days after. a) Find the value of k. Round off your answer to four decimal places. b) How many insects are there after 7 days of the experiment? Round off your answer to the nearest whole number.

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