Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A lake is stocked with 557 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 3481 . The population of fish in the lake after time $\mathrm { t }$ , in months, is given by the function $\mathrm { P } ( \mathrm { t } ) = \frac { 3481 } { 1 + 5.48 \mathrm { e } ^ { - 0.31 \mathrm { t } } }$ . After how many months will the population be 694 ?

A) $12 \mathrm { mo }$
B) $1 \mathrm { mo }$
C) $7 \mathrm { mo }$
D) $17 \mathrm { mo }$