As N (population size) approaches K (carrying capacity) for a certain population, which ofthe following is predicted by the logistic equation?a) The growth rate will not change.b) The growth rate will approach zero.c) The population will increase exponentially.d) The carrying capacity of the environment will increase.
Question
As N (population size) approaches K (carrying capacity) for a certain population, which ofthe following is predicted by the logistic equation?a) The growth rate will not change.b) The growth rate will approach zero.c) The population will increase exponentially.d) The carrying capacity of the environment will increase.
Solution
b) The growth rate will approach zero.
Here's why:
The logistic equation is a model of population growth where the size of the population N affects the growth rate. As N approaches the carrying capacity K, the growth rate slows down. This is because as a population reaches its carrying capacity, resources become more scarce, competition increases, and the growth rate decreases. Therefore, as N approaches K, the growth rate will approach zero. This is a characteristic of logistic growth, not exponential growth. The carrying capacity of the environment does not increase as N approaches K; it is a constant in the logistic equation.
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