When a population grows according to the logistic equation, what will happen if the population falls slightly below the carrying capacity? A. population will go extinct B. population will level off and establish new carrying capacity C. population will increase until reaches carrying capacity and then level off. D. population will begin to grow exponentially

Question

Mathematics

Axel Salazar

2 June, 05:08

When a population grows according to the logistic equation, what will happen if the population falls slightly below the carrying capacity? A. population will go extinct B. population will level off and establish new carrying capacity C. population will increase until reaches carrying capacity and then level off. D. population will begin to grow exponentially

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Answers (1)

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Keaton Owen · Answer 1

C. Population will increase until it reaches carrying capacity and then level off.

Explanation:

A is not the true because according to the logistic equation, the population will continue to grow. B is not the correct option because population itself cannot decrease carrying capacity, population can only adjust itself to reach the carrying capacity. D is not correct because exponential growth can only happen for a short period when the population in very small compared to the carrying capacity, and eventually performs logistic growth as the population size increases.