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

question 154

Short Answer

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 4 th and 7 th weeks of summer?

---

Definitions:

Bacillus Anthracis

A bacterium that causes anthrax, a serious infectious disease in humans and animals.

Gram-positive

Relating to a group of bacteria that retain the crystal violet stain used during the Gram staining method of bacterial differentiation, appearing purple under a microscope.

Gram-variable

Pertaining to bacteria that do not consistently stain either as Gram-positive or Gram-negative because of their cell wall composition variations.

Opaqueness

The quality of being difficult to see through or understand, often used to describe materials that are not transparent or clear communications.