A beekeeper's initial observation of the population of a certain bee …

Question

Prompt

A beekeeper's initial observation of the population of a certain bee colony was

1, 800

bees. The beekeeper set a goal to increase the population to

3, 300

bees. The beekeeper uses a model that predicts the population of this bee colony begins at

1, 800

and increases by

120

bees per week in the first two weeks after the initial observation, and then increases by

180

bees per week until the beekeeper's goal is reached. According to this model, at the end of week

w

after the initial observation, where

w > 2

, which of the following functions gives the predicted number of bees still needed to reach the beekeeper's goal?

p (w) = 3, 300 - 180 w

p (w) = 3, 180 + 180 w

p (w) = 1, 620 - 180 w

p (w) = - 120 + 180 w