To determine the population growth rate for the given population, let's break down the steps clearly:
1. Identify the initial population: The initial population is 1000.
2. Identify the number of births: There are 200 new births.
3. Identify the number of deaths: There are 100 deaths.
4. Calculate the net change in population: The net change in population is the difference between the number of births and the number of deaths:
[tex]\[ \text{Net Change} = \text{Births} - \text{Deaths} \][/tex]
[tex]\[ \text{Net Change} = 200 - 100 = 100 \][/tex]
5. Calculate the population growth rate: The population growth rate is the net change in population divided by the initial population:
[tex]\[ \text{Population Growth Rate} = \frac{\text{Net Change}}{\text{Initial Population}} \][/tex]
[tex]\[ \text{Population Growth Rate} = \frac{100}{1000} \][/tex]
Simplifying this fraction gives us:
[tex]\[ \text{Population Growth Rate} = 0.1 \][/tex]
Thus, the correct equation to calculate the population growth rate of this population is:
[tex]\[ 0.20 - 0.10 = 0.10 \][/tex]
Therefore, the correct option is:
D. [tex]$0.20-0.10=0.10$[/tex]
