Under Ideal Conditions, a Population of Rabbits Has an Exponential $\mathrm { P } ( \mathrm { t } ) = 40 \mathrm { e } ^ { 0.116 \mathrm { t } }$

Multiple Choice

Under ideal conditions, a population of rabbits has an exponential growth rate of 11.6% per day. Consider an initial population of 400 rabbits. Find the exponential growth function.

A) $\mathrm { P } ( \mathrm { t } ) = 40 \mathrm { e } ^ { 0.116 \mathrm { t } }$
B) $P ( t ) = 100 \mathrm { e } ^ { 1.16 t }$
C) $\mathrm { P } ( \mathrm { t } ) = 400 \mathrm { e } ^ { 0.116 \mathrm { t } }$
D) $P ( t ) = 100 \mathrm { e } ^ { 11.6 \mathrm { t } }$