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

---

Definitions:

Nash Equilibrium

A concept in game theory where no player can benefit by changing strategies while the other players keep theirs unchanged, indicating optimal decision-making among competitors.

Michigan Football

The football team representing the University of Michigan, known for its history and achievements in college football.

Gain Yards

A term often used in American football to describe the act of advancing the ball closer to the opposing team's goal line.

Probability .50

A statistical measure indicating that an event has an equal chance of occurring or not occurring, often represented as a 50% chance.