A Lake Is Stocked with 422 Fish of a New $P ( t ) = \frac { 2637 } { 1 + 5.05 e ^ { - 0.39 t } }$

question 143

Multiple Choice

A lake is stocked with 422 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 2637. The population of fish in the lake after time t, in
Months, is given by the function P(t) $P ( t ) = \frac { 2637 } { 1 + 5.05 e ^ { - 0.39 t } }$ . Find the population after 1 months.

• A) 597 fish
• B) 612 fish
• C) 587 fish
• D) 607 fish

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Definitions:

Intervention Strategies

Planned actions or procedures designed to alter the current status by addressing specific problems or needs.

Stage of Change

A concept within models of behavioral change that describes the levels of readiness and motivation a person has towards modifying problem behaviors.

Therapy Continuers

Individuals who choose to persist with therapeutic interventions over time, often aiming for deeper personal growth beyond initial treatment goals.

Transtheoretical Therapist

A therapist who utilizes the Transtheoretical Model of Behavior Change to help clients progress through stages of change at their own pace.