Question

for questions 21 - 23, complete the statement using the function $f(t)=\frac{l}{1 + ce^{-kt}}$. 21. this function is known as a ____ growth function. (1 point) 22. this function in the previous question is used to model population growth when resources are __. (1 point) 23. in this function, l represents the ____ of the environment for this population. (1 point)

Explanation:

1. The function $f(t)=\frac{L}{1 + Ce^{-kt}}$ is a logistic growth function which has a characteristic S - shaped curve.
2. Logistic growth models are used when resources are limited as they account for the carrying - capacity of the environment.
3. In the logistic growth function, $L$ represents the carrying capacity of the environment for the population, which is the maximum population size that the environment can sustain indefinitely.

Answer:

1. logistic
2. limited
3. carrying capacity