Consider a population of deer. At the beginning of 2022, there were 100 individuals. During 2022, 20 deer were born, and 10 died. During 2022, 10 individuals immigrated to the population, and 20 emigrated from the population. What was the per capita growth rate of this population?

Question

Group of answer choices

0%

10%

20%

5%

not enough information provided to answer the question

Answer 1

To calculate the per capita growth rate of the deer population, we need to determine the change in population size over the year and then divide that by the original population size.

1. Initial Population (2022): 100 individuals.
2. Births during 2022: +20 individuals.
3. Deaths during 2022: -10 individuals.
4. Immigration during 2022: +10 individuals.
5. Emigration during 2022: -20 individuals.

Now we can calculate the total change in population:

\[ \text{Total change} = \text{Births} - \text{Deaths} + \text{Immigration} - \text{Emigration} \]

Substituting the values:

\[ \text{Total change} = 20 - 10 + 10 - 20 = 0 \]

So, the population at the end of 2022 is:

\[ \text{Final Population} = \text{Initial Population} + \text{Total change} = 100 + 0 = 100 \]

Next, we calculate the per capita growth rate (\( r \)):

\[ r = \frac{\text{Total change}}{\text{Initial Population}} \]

Substituting the values:

\[ r = \frac{0}{100} = 0 \]

The per capita growth rate of the population is 0%.

Therefore, the correct answer is 0%.