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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Definitions:

Dichotomous

Referring to a division or contrast between two completely opposite groups or things.

Independent Variable

In scientific experimentation, it is the variable that is manipulated or changed to test its effects on the dependent variable.

Dependent Variable

In an experiment or study, the variable that is tested and measured to see if it is affected by changes in another variable (the independent variable).

Sales Territories

are geographic or demographic regions assigned to salespersons or teams as their specific area of responsibility.