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

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

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

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