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

question 21

Multiple Choice

Suppose that a population grows according to a logistic model with carrying capacity 7,000 and $k = 0.05$ per year. Choose the logistic differential equation for these data.

• A) \(\frac { d P ( t ) } { d t } = 7,000 P \left( 1 + \frac { p } { 0.05 } \right)\)
• B) \(\frac { d P ( t ) } { d t } = P \left( 1 + \frac { p } { 7,000 } \right)\)
• C) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 7,000 } \right)\)
• D) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 5 } \right)\)
• E) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 - \frac { p } { 7,000 } \right)\)

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Definitions:

Biologically Significant

Pertaining to factors or impact of considerable importance for biological processes or survival.

Successive Approximations

A technique in behavior therapy and training that rewards behaviors that progressively get closer to the desired behavior.

Reinforcing

In the context of behavior, this term refers to the process of encouraging or establishing a pattern of behavior by providing a reward or consequence.

Extinction

The process by which a species, genus, or family ceases to exist.