Assume That the Rat Population in a Certain Urban Area $P ( t ) = \frac { 20 } { 1 + 9 e ^ { - 0.31 t } }$

question 47

Essay

Assume that the rat population in a certain urban area behaves according to the logistic growth function $P ( t ) = \frac { 20 } { 1 + 9 e ^ { - 0.31 t } }$ where $P$ is the number of rats in the hundreds, and $t$ is measured in months.(a) Find the initial rat population.(b) Find the rat population after $1$ month.(c) After how many months will the rat population triple from its initial size?

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Definitions:

Control Group

In experimental research, a group of subjects that does not receive the treatment or experimental condition and is used as a benchmark to measure how the other tested subjects do.

Aggressively

Behavior characterized by assertiveness, boldness, or combativeness, often with the intent to dominate or control.

Violent Television

Television programming that depicts scenes of physical or psychological harm or force intended to hurt or kill characters.

Dependent Variable

The variable in an experiment that is expected to change as a result of manipulations to the independent variable.