A population of deer has a per capita rate of increase of 0.1 deer per year. If there are initially 300 deer in the population, and the population is growing exponentially, how many deer will be in the population after one year?

Question

Quizplus · Accepted Answer

The exponential growth formula is:

Nt = N0 * e^(rt)

where:

Nt = final population size
N0 = initial population size
r = per capita rate of increase
t = time period

Plug in the given values:

Nt = 300 * e^(0.1*1)
Nt = 300 * e^(0.1)
Nt ≈ 329.5

So after one year, there will be about 329.5 or approximately 330 deer in the population. The closest answer choice is C.

A Population of Deer Has a Per Capita Rate of Increase