Find the Exponential Function That Satisfies the Given Conditions $= 30,848$

question 131

Multiple Choice

Find the exponential function that satisfies the given conditions.
-Initial population $= 30,848$ , increasing at a rate of $3 \%$ per year

• A) \(\mathrm { P } ( \mathrm { t } ) = 3 \cdot 30,848 ^ { \mathrm { t } }\)
• B) \(\mathrm { P } ( \mathrm { t } ) = 30,848 \cdot 3 ^ { \mathrm { t } }\)
• C) \(\mathrm { P } ( \mathrm { t } ) = 30,848 \cdot 1.03 ^ { \mathrm { t } }\)
• D) \(\mathrm { P } ( \mathrm { t } ) = 30,848 \cdot 0.03 \mathrm { t }\)

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Definitions:

Lactose

A sugar present in milk and dairy products, consisting of glucose and galactose units.

Transcription

The process by which the information in a strand of DNA is copied into a new molecule of messenger RNA (mRNA).

Allosteric Site

A region on an enzyme that binds to molecules in the cell, resulting in a change in the enzyme's activity; not the active site where substrate molecules bind.

Tryptophan Operon

A segment of DNA in bacteria that regulates the production of tryptophan by switching the genes responsible for its synthesis on or off.