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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

User Ethree
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1 Answer

5 votes

Answer:

D. 21,386

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

User Maulana Prambadi
by
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