A population has 1000 individuals. Over a period of 1 year, 200 new individuals are born. Which equation shows how to calculate the birthrate of this population?
A. [tex]$200 \div 1000=0.2$[/tex]
B. [tex]$1000 \div 200=5$[/tex]
C. [tex]$1000+200=1200$[/tex]
D. [tex]$1000 \times 0.2=200$[/tex]
Answer (2)
The birthrate of a population is calculated by dividing the number of new births by the total population. In this scenario, the equation for the birthrate is 200 ÷ 1000 = 0.2 . The correct option is A.
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The birthrate is calculated by dividing the number of new births by the initial population size.
The number of births is 200 and the initial population is 1000.
Calculate the birthrate: 1000 200 = 0.2 .
The equation that shows how to calculate the birthrate is 200 ÷ 1000 = 0.2 .
Explanation
Understanding the Problem We are given a population of 1000 individuals and that 200 new individuals are born over a year. We need to find the equation that correctly calculates the birthrate of this population. The birthrate is defined as the number of births per individual in the population per year.
Calculating the Birthrate To calculate the birthrate, we need to divide the number of new individuals born by the initial population size. This can be represented as: bi r t h r a t e = ini t ia l p o p u l a t i o n n u mb er o f bi r t h s In this case, the number of births is 200 and the initial population is 1000. Therefore, the birthrate is: bi r t h r a t e = 1000 200
Identifying the Correct Equation Now, let's evaluate the expression: bi r t h r a t e = 1000 200 = 0.2 Comparing this with the given options, we see that option A matches our calculation: 200 ÷ 1000 = 0.2 .
Final Answer Therefore, the equation that shows how to calculate the birthrate of this population is 200 ÷ 1000 = 0.2 .
Examples
Understanding birthrates is crucial in many real-world scenarios. For example, city planners use birthrates to predict future population growth and allocate resources for schools, hospitals, and infrastructure. Similarly, ecologists use birthrates to study the dynamics of animal populations and manage wildlife. By understanding how to calculate and interpret birthrates, we can make informed decisions about resource allocation and conservation efforts.
