Cramped Quarters Island is a tiny island which, although able to support a limited population of rabbits, doesn't have enough space or food supplies to support unlimited exponential growth.It is suggested that if Q(t)= population of rabbits on Cramped Quarters Island at time t, then the quantity (800 - Q(t))will be an exponentially decaying function of t.Given that there were 400 rabbits at time t = 0, and 500 rabbits one year later, find the general formula for Q(t), the population of rabbits on Cramped Quarters Island at time t and use it to determine the rabbit population after 3 years (to the nearest rabbit).
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