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The population of a culture of bacteria is modeled by the logistic equation The population of a culture of bacteria is modeled by the logistic

The population of a culture of bacteria is modeled by the logistic equation

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The population of a culture of bacteria is modeled by the logistic equation 14,250 P(t) =1+29e-0.62t To the nearest tenth, how many days will it take the culture to reach 75% of its carrying capacity? What is the carrying capacity? What is the initial population for the model? Why a model like P(t) = Po eht, where Po is the initial population, would not be plausible? What are the virtues of the logistic model? Go to www.desmos.com/calculator and type y = 14250 / (1 + 29. e ). {0

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