Homework Answers
Answer=(d)N=1/2K
Explanation-
dN/dt=rN(K-N)/K
Above equation is logistic growth equation.
When N almost becomes equal to K,the term (K-N)/K is almost zero and dN/dt that is the growth rate also becomes zero.In the logistic model the greatest population growth rate is achieved at half the carrying capacity (K/2) and populations with a greater value of r will reach K more rapidly (in less time) than populations with lesser values or r.
So option d is correct answer and rest all the options are incorrect.
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