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In a population of 1000 individuals, 100 new individuals were born and 200 individuals died over the course of 1 year. Which equation shows how to calculate the population growth rate of this population?
To determine the population growth rate, we need to follow a structured approach:
1. Calculate the birth rate: The birth rate is found by dividing the number of births by the total population. For a population of 1000 individuals with 100 births: [tex]\[
\text{Birth rate} = \frac{\text{Number of births}}{\text{Total population}} = \frac{100}{1000} = 0.10
\][/tex]
2. Calculate the death rate: The death rate is calculated by dividing the number of deaths by the total population. For a population of 1000 individuals with 200 deaths: [tex]\[
\text{Death rate} = \frac{\text{Number of deaths}}{\text{Total population}} = \frac{200}{1000} = 0.20
\][/tex]
3. Calculate the population growth rate: The population growth rate is obtained by subtracting the death rate from the birth rate: [tex]\[
\text{Population growth rate} = \text{Birth rate} - \text{Death rate} = 0.10 - 0.20 = -0.10
\][/tex]
The equation that shows how to calculate the population growth rate correctly is the one where we subtract the death rate from the birth rate. Hence, the correct choice is:
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