In 2012, the population in a town was 8,000 people. In 2017, the population was 11,400. What was the percent increase in the population?

1 answer

To calculate the percent increase in the population from 2012 to 2017, we can follow these steps:

  1. Determine the initial population (2012): \( P_{\text{initial}} = 8000 \)

  2. Determine the final population (2017): \( P_{\text{final}} = 11400 \)

  3. Calculate the increase in population: \[ \text{Increase} = P_{\text{final}} - P_{\text{initial}} = 11400 - 8000 = 3400 \]

  4. Calculate the percent increase: \[ \text{Percent Increase} = \left( \frac{\text{Increase}}{P_{\text{initial}}} \right) \times 100 \] \[ \text{Percent Increase} = \left( \frac{3400}{8000} \right) \times 100 = 0.425 \times 100 = 42.5% \]

Thus, the percent increase in the population from 2012 to 2017 is 42.5%.