In a population of 1000 individuals, 500 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?

A. [tex]$0.50 - 0.20 = 0.30$[/tex]
B. [tex]$0.20 \times 0.50 = 1.00$[/tex]
C. [tex]$0.20 - 0.50 = -0.30$[/tex]
D. [tex]$0.50 + 0.20 = 0.70$[/tex]



Answer :

To determine the population growth rate, we need to consider the birth rate and the death rate. Here is a detailed step-by-step solution:

1. Calculate the birth rate:
- Birth rate is the number of births divided by the initial population.
- In this case, there were 500 births in a population of 1000 individuals.
- Birth rate = [tex]\( \frac{\text{number of births}}{\text{initial population}} \)[/tex]
- Birth rate = [tex]\( \frac{500}{1000} \)[/tex]
- Birth rate = 0.50

2. Calculate the death rate:
- Death rate is the number of deaths divided by the initial population.
- In this case, there were 200 deaths in a population of 1000 individuals.
- Death rate = [tex]\( \frac{\text{number of deaths}}{\text{initial population}} \)[/tex]
- Death rate = [tex]\( \frac{200}{1000} \)[/tex]
- Death rate = 0.20

3. Calculate the population growth rate:
- Population growth rate is the difference between the birth rate and the death rate.
- Population growth rate = Birth rate - Death rate
- Population growth rate = 0.50 - 0.20
- Population growth rate = 0.30

4. Choose the equation representing the population growth rate:
- The equation that correctly shows the calculation for the population growth rate is:

[tex]\[ 0.50 - 0.20 = 0.30 \][/tex]

Therefore, the correct answer is:

A. [tex]\( 0.50 - 0.20 = 0.30 \)[/tex]