Find the Exponential Function That Satisfies the Given Conditions $= 30,991$

Multiple Choice

Find the exponential function that satisfies the given conditions.
-Initial population $= 30,991$ , increasing at a rate of $2.8 \%$ per year

A) $\mathrm { P } ( \mathrm { t } ) = 30,991 \cdot 1.028 ^ { \mathrm { t } }$
B) $\mathrm { P } ( \mathrm { t } ) = 30,991 \cdot 2.8 ^ { \mathrm { t } }$
C) $\mathrm { P } ( \mathrm { t } ) = 2.8 \cdot 30,991 ^ { \mathrm { t } }$
D) $\mathrm { P } ( \mathrm { t } ) = 30,991 \cdot 0.02 \mathrm { t } ^ { \mathrm { t } }$