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



Answer :

To determine the population growth rate, let's follow these steps:

1. Determine the birth rate:
- The birth rate represents the fraction of the initial population that consists of new births.
- Here, 500 individuals were born in a population of 1000.
- Birth rate = [tex]\(\frac{\text{Number of births}}{\text{Initial population}}\)[/tex].
- Birth rate = [tex]\(\frac{500}{1000} = 0.50\)[/tex].

2. Determine the death rate:
- The death rate represents the fraction of the initial population that died.
- Here, 200 individuals died in a population of 1000.
- Death rate = [tex]\(\frac{\text{Number of deaths}}{\text{Initial population}}\)[/tex].
- Death rate = [tex]\(\frac{200}{1000} = 0.20\)[/tex].

3. Calculate the population growth rate:
- The population growth rate is calculated by subtracting the death rate from the birth rate.
- Population growth rate = Birth rate - Death rate.
- Population growth rate = 0.50 - 0.20 = 0.30.

The correct equation that shows how to calculate the population growth rate of this population is:

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

Therefore, the correct answer is:
A. [tex]\(0.50 - 0.20 = 0.30\)[/tex].