Let's break down the problem step-by-step.
We have an initial population of 1000 individuals. Over the course of one year, 500 new individuals are born. We are asked to determine the birthrate of this population.
The birthrate can be calculated by taking the number of new individuals born and dividing that by the initial population size. This tells us how many new individuals are born per member of the initial population over the given period of time.
Here is how you can structure the calculation:
1. Identify the number of new births: 500 new individuals.
2. Identify the initial population size: 1000 individuals.
3. Calculate the birthrate: divide the number of new individuals by the initial population size.
The mathematical formula for this calculation is:
[tex]\[
\text{Birthrate} = \frac{\text{Number of new births}}{\text{Initial population size}}
\][/tex]
Plugging in the given numbers:
[tex]\[
\text{Birthrate} = \frac{500}{1000} = 0.5
\][/tex]
Thus, the correct equation that shows how to calculate the birthrate is:
[tex]\[
500 \div 1000 = 0.5
\][/tex]
The correct option is A: [tex]\(500 \div 1000 = 0.5\)[/tex].
