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In a population of 1000 individuals, 200 new individuals were born and 100 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 = 0.30[/tex]
B. [tex]0.10 - 0.20 = -0.10[/tex]
C. [tex]0.20 - 0.10 = 0.10[/tex]
D. [tex]0.10 \times 0.20 = 0.02[/tex]



Answer :

GinnyAnswer
To determine the population growth rate, we need to follow these steps:

1. Calculate the Birth Rate: This is the number of births per individual in the population over a given period of time. The formula for the birth rate is:
[tex]\[ \text{Birth Rate} = \frac{\text{Number of Births}}{\text{Total Population}} \][/tex]
- In this case, we have 200 births in a population of 1000 individuals.
- So, the birth rate is:
[tex]\[ \text{Birth Rate} = \frac{200}{1000} = 0.20 \][/tex]

2. Calculate the Death Rate: This is the number of deaths per individual in the population over the same period. The formula for the death rate is:
[tex]\[ \text{Death Rate} = \frac{\text{Number of Deaths}}{\text{Total Population}} \][/tex]
- Here, we have 100 deaths in a population of 1000 individuals.
- So, the death rate is:
[tex]\[ \text{Death Rate} = \frac{100}{1000} = 0.10 \][/tex]

3. Calculate the Population Growth Rate: The population growth rate is found by subtracting the death rate from the birth rate:
[tex]\[ \text{Population Growth Rate} = \text{Birth Rate} - \text{Death Rate} \][/tex]
- Using the values calculated above:
[tex]\[ \text{Population Growth Rate} = 0.20 - 0.10 = 0.10 \][/tex]

Therefore, the equation that shows how to calculate the population growth rate for this population is:
[tex]\[ \text{C. } 0.20 - 0.10 = 0.10 \][/tex]

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