Suppose that a population follows a logistic growth pattern, with a limiting population N. If the initial population is denoted by Po, and t is the amount of time elapsed, then the population P can be represented by PN P Po + (N - Pa)e where k is a constant related to the growth rate. a. Solve for t (note that there are numerous equivalent algebraic forms for the result). b. Interpret the meaning of the resulting relationship.

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