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In a population of 1000 individuals, 100 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]0.20 - 0.10 = 0.10[/tex]

B. [tex]0.10 - 0.20 = -0.10[/tex]

C. [tex]0.10 \times 0.20 = 0.02[/tex]

D. [tex]0.20 + 0.10 = 0.30[/tex]


Sagot :

To determine the population growth rate, we need to follow a structured approach:

1. Calculate the birth rate:
The birth rate is found by dividing the number of births by the total population. For a population of 1000 individuals with 100 births:
[tex]\[ \text{Birth rate} = \frac{\text{Number of births}}{\text{Total population}} = \frac{100}{1000} = 0.10 \][/tex]

2. Calculate the death rate:
The death rate is calculated by dividing the number of deaths by the total population. For a population of 1000 individuals with 200 deaths:
[tex]\[ \text{Death rate} = \frac{\text{Number of deaths}}{\text{Total population}} = \frac{200}{1000} = 0.20 \][/tex]

3. Calculate the population growth rate:
The population growth rate is obtained by subtracting the death rate from the birth rate:
[tex]\[ \text{Population growth rate} = \text{Birth rate} - \text{Death rate} = 0.10 - 0.20 = -0.10 \][/tex]

The equation that shows how to calculate the population growth rate correctly is the one where we subtract the death rate from the birth rate. Hence, the correct choice is:

B. [tex]\(0.10 - 0.20 = -0.10\)[/tex]