A computer program models the population of a certain insect in an en…

Question

Prompt

A computer program models the population of a certain insect in an environment where the insect has no natural predators. According to the model, the estimated total mass of the population of insects at the end of every 5-week period is 158% greater than the estimated total mass of the population of insects at the end of the previous 5-week period. The estimated total mass of the population of insects at the end of 15 weeks is 627.7 grams. Which equation best represents this model, where

M

is the estimated total mass, in grams, of the population of insects at the end of

t

weeks?

M = 538.92 (1.58)^{\frac{t}{5}}

M = 457.66 (2.58)^{\frac{t}{5}}

M = 159.14 (1.58)^{\frac{t}{5}}

M = 36.55 (2.58)^{\frac{t}{5}}