A Conservation Organization Releases 100 Animals of an Endangered Species $p ( t ) = \frac { 900 } { 1 + 10 e ^ { - 0.1656 t } }$

question 88

Multiple Choice

A conservation organization releases 100 animals of an endangered species into a game preserve. The organization believes that the preserve has a carrying capacity of 900 animals and that the growth of the herd will follow the logistic curve $p ( t ) = \frac { 900 } { 1 + 10 e ^ { - 0.1656 t } }$ , where $t$ is measured in months. What is the population after 8 months? Round your answer to the nearest animal.

• A) 23 animals
• B) 243 animals
• C) 159 animals
• D) 308 animals
• E) 246 animals

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Definitions:

Simple Tasks

Tasks that require a minimal amount of cognitive effort and skill to complete.

Complicated Tasks

Tasks that are multifaceted and complex, requiring significant mental effort, skill, or resources to complete successfully.

Social Compensation Effects

The phenomenon whereby individuals work harder in a group to compensate for the perceived lower performance of others.

Collective Effort Model

A theoretical framework that suggests individual motivation in group tasks is influenced by the expected outcomes of the collective effort.