A Hunting Club Stocks a Wildlife Preserve with 18 Elk $p ( t ) = \frac { 180 } { 1 + 9 e ^ { - 0.154 t } }$

Multiple Choice

A hunting club stocks a wildlife preserve with 18 elk. The carrying capacity of the preserve is 180 animals and the growth of the herd, allowing for the effect of controlled hunting of the elk, is expected to be modeled by the logistic curve $p ( t ) = \frac { 180 } { 1 + 9 e ^ { - 0.154 t } }$ , where t is measured in years. After how many years will the population be 153? Round to the nearest year.

A) 22 years
B) 28 years
C) 24 years
D) 20 years
E) 26 years