$\text { The logistic function } P ( t ) = \frac { 10 } { 1 + 3 e ^ { - 2 t } } \text { models the growth of a population. }$

Multiple Choice

$\text { The logistic function } P ( t ) = \frac { 10 } { 1 + 3 e ^ { - 2 t } } \text { models the growth of a population. }$ Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.

A) 0.549
B) 3.333
C) 1.151
D) 5.000
E) 1.000