To determine the population growth rate, we need to find the rates at which new individuals are born and the rates at which individuals die relative to the starting population, and then use these rates to calculate the net growth rate.
Here are the steps:
1. Calculate the birth rate:
- The birth rate is the number of births per year divided by the initial population.
- Since there are 200 births and the initial population is 1000:
[tex]\[
\text{Birth rate} = \frac{\text{Number of births}}{\text{Initial population}} = \frac{200}{1000} = 0.20
\][/tex]
2. Calculate the death rate:
- The death rate is the number of deaths per year divided by the initial population.
- Since there are 100 deaths and the initial population is 1000:
[tex]\[
\text{Death rate} = \frac{\text{Number of deaths}}{\text{Initial population}} = \frac{100}{1000} = 0.10
\][/tex]
3. Calculate the population growth rate:
- The population growth rate is the difference between the birth rate and the death rate.
- Subtract the death rate from the birth rate:
[tex]\[
\text{Population growth rate} = \text{Birth rate} - \text{Death rate} = 0.20 - 0.10 = 0.10
\][/tex]
Given the correct calculation steps, we find that the correct equation is:
[tex]\[
0.20 - 0.10 = 0.10
\][/tex]
Thus, the correct answer is:
A. [tex]\(0.20 - 0.10 = 0.10\)[/tex]
