250144e-0.01.5. The population, P, of an island, y years after colonization is given by the function P =a. What was the initial population of the island?b. How long did it take before the island had a population of 150?c. After how many years was the population growing the fastest?d. Using curve sketching methods, sketch the graph of the function. Make sure that you includeall steps, charts, and derivations details.e. Give a possible explanation for the shape of the curve.

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5. The population, P, of an island, y years after colonization is given by the function P = a. What was the initial population of the island? b. How long did it take before the island had a population of 150? 250 144e-001 c. After how many years was the population growing the fastest? d. Using curve sketching methods, sketch the graph of the function. Make sure that you include all steps, charts, and derivations details. e. Give a possible explanation for the shape of the curve.