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 two years?

Question

Quizplus · Accepted Answer

Exponential growth formula is:
Nt = N0 * e^(rt)
where,
Nt = Population after time (t)
N0 = initial population
r = growth rate
t = time

Given:
N0 = 100
r = 0.2 per year
t = 2 years

Nt = N0 * e^(rt)
Nt = 100 * e^(0.2*2)
Nt = 100 * e^0.4
Nt = 100 * 1.49182
Nt = 149.182
Rounding off to the nearest integer, we get:
Nt = 144.

Therefore, the population will be 144 individuals in two years. Hence, the answer is C) 144.

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