QUESTION 3 (a) A population of insects in a region will grow at a rate that is proportional to their current population. Initially, there are 80 insects in the area. In the absence of any outside factors the population will double in two weeks time. (i) By using the mathematical modeling of the population growth where dP = kP, estimate the population of the insects after 8 weeks. dt (ii) How long will it take to reach 5000 insects in the area?

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