The spotted knapweed is an invasive species of tumbleweed that spreads quickly over vast areas. If the number of acres of land infested by spotted knapweed increases by

Question

annually in a certain state, which of the following graphs could model the spread of the weed as a function of time?
Choose 1 answer:
Choose 1 answer:
(Choice A) A graph plots area infested in acres versus time in years. As time increases, the area infested increases at a constant rate.


A
A graph plots area infested in acres versus time in years. As time increases, the area infested increases at a constant rate.

(Choice B) A graph plots area infested in acres versus time in years. As time increases, the area infested increases at a non-constant rate. The rate of increase is gradual at first, but increases as time increases.


B
A graph plots area infested in acres versus time in years. As time increases, the area infested increases at a non-constant rate. The rate of increase is gradual at first, but increases as time increases.

(Choice C) A graph plots area infested in acres versus time in years. As time increases, the area infested decreases at a constant rate.


C
A graph plots area infested in acres versus time in years. As time increases, the area infested decreases at a constant rate.

(Choice D) A graph plots area infested in acres versus time in years. As time increases, the area infested decreases at a non-constant rate. The rate of decrease is sharp at first, but decreases as time increases.


D
A graph plots area infested in acres versus time in years. As time increases, the area infested decreases at a non-constant rate. The rate of decrease is sharp at first, but decreases as time increases.

Show calculator

Answer 1

(Choice B) A graph plots area infested in acres versus time in years. As time increases, the area infested increases at a non-constant rate. The rate of increase is gradual at first, but increases as time increases.

This is the correct choice as the spotted knapweed is an invasive species that spreads quickly over vast areas, so the rate of infestation is likely to increase as time goes on.