A population of 100 individuals is undergoing exponential growth,with a constant growth rate of 0.2 per year.What size will this population be in 2 years?
A) 100
B) 120
C) 144
D) 200

Question

Quizplus · Accepted Answer

We can use the formula for exponential growth to find the size of the population after 2 years:
N = N₀e^(rt)
where:
N₀ = initial population = 100
r = growth rate = 0.2
t = time period = 2 years
e = Euler's number (approximately 2.718)

Plugging in the values, we get:
N = 100e^(0.2*2)
N = 100e^0.4
N ≈ 144.2

Therefore, the size of the population after 2 years is approximately 144, which corresponds to choice C).

A Population of 100 Individuals Is Undergoing Exponential Growth,with a Constant