To calculate the population growth rate starting with the given population data:
1. Population Initial: 1000 individuals.
2. Births: 200 new individuals.
3. Deaths: 100 individuals.
First, we will calculate the birth rate and death rate:
1. Calculate the birth rate:
[tex]\[ \text{Birth Rate} = \frac{\text{Number of Births}}{\text{Original Population}} \][/tex]
[tex]\[ \text{Birth Rate} = \frac{200}{1000} \][/tex]
[tex]\[ \text{Birth Rate} = 0.20 \][/tex]
2. Calculate the death rate:
[tex]\[ \text{Death Rate} = \frac{\text{Number of Deaths}}{\text{Original Population}} \][/tex]
[tex]\[ \text{Death Rate} = \frac{100}{1000} \][/tex]
[tex]\[ \text{Death Rate} = 0.10 \][/tex]
3. Calculate the population growth rate:
[tex]\[ \text{Population Growth Rate} = \text{Birth Rate} - \text{Death Rate} \][/tex]
[tex]\[ \text{Population Growth Rate} = 0.20 - 0.10 \][/tex]
[tex]\[ \text{Population Growth Rate} = 0.10 \][/tex]
Therefore, the correct equation for calculating the population growth rate of this population is:
[tex]\[ 0.20 - 0.10 = 0.10 \][/tex]
Hence, the correct answer is:
[tex]\[ \boxed{0.20 - 0.10 = 0.10} \][/tex]
Which corresponds to option B.
