$\text { A calf that weighs } 75 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1300 - w ) \text {, }$

Multiple Choice

$\text { A calf that weighs } 75 \text { pounds at birth gains weight at the rate } \frac { d w } { d t } = k ( 1300 - w ) \text {, }$ where $w$ is weight in pounds and $t$ is time in years. If the animal is sold when its weight reaches 750 pounds, find the time of sale using the model $w = 1300 - 1225 e ^ { - 0.8 t }$ . Round your answer to two decimal places.

A) $8.17$ years
B) $2.88$ years
C) $0.92$ year
D) 1 year
E) $0.32$ year