Suppose That a Population Grows According to a Logistic Model $8,000$

Suppose that a population grows according to a logistic model with carrying capacity $8,000$ and $k = 0.01$ per year. Choose the logistic differential equation for these data.

A) $\frac { d P ( t ) } { d t } = 0.01 P \left( 1 + \frac { p } { 1 } \right)$
B) $\frac { d P ( t ) } { d t } = 8,000 P \left( 1 + \frac { p } { 0.01 } \right)$
C) $\frac { d P ( t ) } { d t } = 0.01 P \left( 1 - \frac { p } { 8,000 } \right)$
D) $\frac { d P ( t ) } { d t } = 0.01 P \left( 1 + \frac { p } { 8,000 } \right)$
E) $\frac { d P ( t ) } { d t } = P \left( 1 + \frac { p } { 8,000 } \right)$

Correct Answer:

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