1) Suppose that the population of rabbits on an island is growing exponentially, following P(t) = Poekt, where Po is the initial population. Suppose that initially there are 250 rabbits on the island, and then after 2 years there are 1200 rabbits on the island. %3D i) Use this information to solve for k in the population model equation. ii) How many rabbits will there be in 5 years? iii) How long does it take for the population of rabbits to double? iv) When will the rabbit population reach 80,000?

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