What was the percent increase in the population of a city that grew from 50,000 to 50,600 in one year?

What was the percent increase in the population of a city that grew from 50,000 to 50,600 in one year?

• A. A. 0.6%
• B. B. 1.2%
• C. C. 6%
• D. D. 12%

Answer: (B)

To find the percent increase in the population of the city, you first calculate the difference in population between the two years. The population grew from 50,000 to 50,600, so the increase is 50,600 - 50,000 = 600. Next, to determine the percent increase, you divide the increase by the original population and then multiply by 100 to convert it into a percentage: \[ \text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Original Population}} \right) \times 100 \] Substituting the numbers: \[ \text{Percent Increase} = \left( \frac{600}{50,000} \right) \times 100 = 0.012 \times 100 = 1.2\% \] This calculation shows that the correct percent increase in the population of the city is 1.2%. This value accurately reflects the growth of the population in relation to its original size.

To find the percent increase in the population of the city, you first calculate the difference in population between the two years. The population grew from 50,000 to 50,600, so the increase is 50,600 - 50,000 = 600.

Next, to determine the percent increase, you divide the increase by the original population and then multiply by 100 to convert it into a percentage:

[

\text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Original Population}} \right) \times 100

]

Substituting the numbers:

[

\text{Percent Increase} = \left( \frac{600}{50,000} \right) \times 100 = 0.012 \times 100 = 1.2%

]

This calculation shows that the correct percent increase in the population of the city is 1.2%. This value accurately reflects the growth of the population in relation to its original size.