Suppose That a Population Grows According to a Logistic Model $k = 0.05$

question 5

Multiple Choice

Suppose that a population grows according to a logistic model with carrying capacity 2,000 and $k = 0.05$ per year. Choose the logistic differential equation for these data.

• A) \(\frac { d P ( t ) } { d t } = P \left( 1 + \frac { p } { 2,000 } \right)\)
• B) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 5 } \right)\)
• C) \(\frac { d P ( t ) } { d t } = 2,000 P \left( 1 + \frac { p } { 0.05 } \right)\)
• D) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 2,000 } \right)\)
• E) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 - \frac { p } { 2,000 } \right)\)

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