The size of an insect colony t days after its formation is P( t) = 1000 $e ^ { 0.2 t }$ . Approximately how many insects are present after 10 days?
A) 690
B) 7389
C) 54,598
D) 6900
E) none of these

Question

Quizplus · Accepted Answer

To find the size of the insect colony after 10 days, substitute $t = 10$ into the given equation: $P(10) = 1000e^{0.2 \times 10} = 1000e^2$. Evaluating this, $e^2 \approx 7.389$, so $1000 \times 7.389 = 7389$.

The Size of an Insect Colony T Days After Its e0.2te ^ { 0.2 t }e0.2t

The Size of an Insect Colony T Days After Its $e ^ { 0.2 t }$