A population has 1000 individuals. Over a period of 1 year, 300 new individuals are born. Which equation shows how to calculate the birthrate of this population?

A. [tex]1000 \div 300 = 3.33[/tex]
B. [tex]1000 \times 0.3 = 300[/tex]
C. [tex]300 \div 1000 = 0.3[/tex]
D. [tex]1000 + 300 = 1300[/tex]



Answer :

To determine the birthrate of a population, you need to know the initial population size and the number of new births over a given time period. The birthrate is typically calculated using the ratio of new births to the initial population.

Here’s a step-by-step process to find the correct equation for calculating the birthrate:

1. Identify the initial population size and the number of new births:
- Initial population size: [tex]\( 1000 \)[/tex] individuals
- Number of new births: [tex]\( 300 \)[/tex] individuals

2. Define the birthrate calculation formula:
The birthrate can be found using the formula:
[tex]\[ \text{Birthrate} = \frac{\text{Number of new births}}{\text{Initial population}} \][/tex]

3. Substitute the given values into the formula:
[tex]\[ \text{Birthrate} = \frac{300}{1000} \][/tex]

4. Perform the division to find the birthrate:
[tex]\[ \frac{300}{1000} = 0.3 \][/tex]

From this calculation, we see that the birthrate is [tex]\( 0.3 \)[/tex].

Hence, the equation that correctly shows how to calculate the birthrate is:
[tex]\[ C. \quad \frac{300}{1000} = 0.3 \][/tex]