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
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.
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1 answer
(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 choice accurately reflects the scenario given, where the number of acres infested by spotted knapweed increases annually at a non-constant rate.