Question 3 of 10

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]0.10 \times 0.20=0.02[/tex]

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

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

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



Answer :

To determine the population growth rate in this population, we need to calculate two key rates: the birth rate and the death rate. Using these, we can then find the population growth rate. Here’s a step-by-step explanation:

1. Calculate the Birth Rate:
- The birth rate describes the number of new individuals born per unit of the population.
- Given that 100 individuals were born in a population of 1000, the birth rate is calculated as:
[tex]\[ \text{Birth Rate} = \frac{\text{Number of Births}}{\text{Initial Population}} = \frac{100}{1000} = 0.1 \][/tex]

2. Calculate the Death Rate:
- The death rate describes the number of individuals who died per unit of the population.
- Given that 200 individuals died in a population of 1000, the death rate is calculated as:
[tex]\[ \text{Death Rate} = \frac{\text{Number of Deaths}}{\text{Initial Population}} = \frac{200}{1000} = 0.2 \][/tex]

3. Calculate the Population Growth Rate:
- The population growth rate is determined by subtracting the death rate from the birth rate.
- Thus, the population growth rate is:
[tex]\[ \text{Population Growth Rate} = \text{Birth Rate} - \text{Death Rate} = 0.1 - 0.2 = -0.1 \][/tex]

Based on these calculations, the equation that shows how to calculate the population growth rate in this population is:
[tex]\[ 0.10 - 0.20 = -0.10 \][/tex]

Therefore, the correct choice among the given options is:
[tex]\[ \boxed{C. \, 0.10 - 0.20 = -0.10} \][/tex]