Solve the Problem $\mathrm { P } ( \mathrm { t } ) = 800 \mathrm { e } ^ { 0.24 \mathrm { t } }$

question 317

Multiple Choice

Solve the problem.
-The size P of a small herbivore population at time t (in years) obeys the function $\mathrm { P } ( \mathrm { t } ) = 800 \mathrm { e } ^ { 0.24 \mathrm { t } }$ if they have enough food and the predator population stays constant. After how many years will the population reach 1,600?

• A) 8.66 yrs
• B) 27.85 yrs
• C) 7.05 yrs
• D) 2.89 yrs

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Definitions:

Contradictories

Propositions or statements that cannot both be true at the same time, but can both be false; in classical logic, the relationship between two logical statements where one negates the other.

Categorical Proposition

An assertion that explicitly states a relationship between two classes, often highlighted by keywords like 'all', 'no', or 'some'.

Negative Quality

A characteristic that decreases the value or desirability of something.

Double Negative

A grammatical construction where two forms of negation are used in the same sentence, often resulting in a positive statement.