250 5. The population, P, of an island, yyears after colonization is given by the function P = W. a. What was the initial population of the island? How long did it take before the island had a population of 150? . After how many years was the population growing the fastest? nnp' . Using curye 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 ofthe curve