A hot, wet summer is causing a mosquito population explosion in a lake resort area. The number of mosquitoes is increasing at an estimated rate of $2,100+7 e^{0.7 t}$ per week (where t is measured in weeks). By how much does the mosquito population increase between the 4th and 6 th weeks of summer?
A) $4702$
B) 7702
C) 5702
D) 6702
E) 8702

Question

Quizplus · Accepted Answer

The mosquito population increases by $2,100+7 e^{0.7 t}$ per week. So, the increase between the 4th and 6th weeks is $$(2,100+7 e^{0.7 (6)})-(2,100+7 e^{0.7 (4)}) = 4702$$

A Hot, Wet Summer Is Causing a Mosquito Population Explosion 2,100+7e0.7t2,100+7 e^{0.7 t}2,100+7e0.7t

A Hot, Wet Summer Is Causing a Mosquito Population Explosion $2,100+7 e^{0.7 t}$