The number of trees in a forest follows the logistic growth function, where t is the time in years. According to the growth model, how many trees will there be after 50 years? A. 14,285 b. 18,092 c. 20,874 d. 21,386

D. 21,386

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"The number of trees in a forest follows the logistic growth function,

f (t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"

Given the logistics growth function,

f (t) = 32000/1+12.8e^-0.065t

To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function

f (50) = 32000/1+12.8e^-0.065 (50)

f (50) = 32000/1+0.496

f (50) = 32000/1.496

f (50) = 21,385.94

f (50) = 21,386

Number of trees that will be there after 50years is 21,386years