To determine which equation shows how to calculate the population growth rate, we need to understand the concepts of birth rate, death rate, and how they contribute to the population growth rate.
1. Calculate Birth Rate:
[tex]\[
\text{Birth Rate} = \frac{\text{Number of Births}}{\text{Initial Population}}
\][/tex]
Given that there are 100 births and an initial population of 1000:
[tex]\[
\text{Birth Rate} = \frac{100}{1000} = 0.10
\][/tex]
2. Calculate Death Rate:
[tex]\[
\text{Death Rate} = \frac{\text{Number of Deaths}}{\text{Initial Population}}
\][/tex]
Given that there are 200 deaths and an initial population of 1000:
[tex]\[
\text{Death Rate} = \frac{200}{1000} = 0.20
\][/tex]
3. Calculate Population Growth Rate:
The population growth rate is the difference between the birth rate and the death rate:
[tex]\[
\text{Population Growth Rate} = \text{Birth Rate} - \text{Death Rate}
\][/tex]
Substituting the calculated birth rate and death rate:
[tex]\[
\text{Population Growth Rate} = 0.10 - 0.20 = -0.10
\][/tex]
Thus, the population growth rate is [tex]\( -0.10 \)[/tex]. This indicates that the population is decreasing over the given time period.
Given the question asks which equation shows how to calculate the population growth rate, we can see that the correct equation is:
A. [tex]\( 0.10 - 0.20 = -0.10 \)[/tex]
