Certainly! Let's break down the calculation of the population growth rate step-by-step:
1. Identify the initial population: We start with a population of 1000 individuals.
2. Determine the number of births and deaths over the year:
- Number of births: 100
- Number of deaths: 200
3. Calculate the birth rate: This is the proportion of births to the initial population.
- Birth rate = Number of births / Initial population
- Birth rate = [tex]\( \frac{100}{1000} = 0.1 \)[/tex]
4. Calculate the death rate: This is the proportion of deaths to the initial population.
- Death rate = Number of deaths / Initial population
- Death rate = [tex]\( \frac{200}{1000} = 0.2 \)[/tex]
5. Determine the population growth rate:
- Population growth rate is calculated as the difference between the birth rate and the death rate.
- Growth rate = Birth rate - Death rate
- Growth rate = [tex]\( 0.1 - 0.2 = -0.1 \)[/tex]
Thus, the correct calculation for the population growth rate is represented by equation B:
[tex]\[ 0.1 - 0.2 = -0.1 \][/tex]
So, the answer is B.
