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

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