The function is a model for a population A, where t is measured in years. The function is a model for a population B, where t is measured in years. What is the carrying capacity for the logistic function?

Question

The function  is a model for a population A, where t is measured in years. The function  is a model for a population B, where t is measured in years. What is the carrying capacity for the logistic function?

Quizplus · Accepted Answer

The stationary equilibrium of a logistic function represents the carrying capacity, where the population growth rate is zero. In both models, the coefficient of the middle term is the carrying capacity. For model A, the coefficient of the term t^2 is 5000, which is the carrying capacity. Therefore, the answer is A.

The Function Is a Model for a Population A