Question

1. the population of a city changes from 47,230 to 55,112. calculate the percent of change in the city population. show all your work.

Explanation:

Step1: Find the change in population

First, we calculate the difference between the new population and the original population. The formula for the amount of change is \( \text{New Population} - \text{Original Population} \).
So, \( 55112 - 47230 = 7882 \)

Step2: Calculate the percent of change

The formula for percent of change is \( \text{Percent of Change} = \frac{\text{Amount of Change}}{\text{Original Amount}} \times 100\% \)
Substituting the values we have: \( \frac{7882}{47230} \times 100\% \)
First, calculate \( \frac{7882}{47230} \approx 0.1669 \)
Then multiply by 100%: \( 0.1669\times 100\% = 16.69\% \approx 16.7\% \) (or we can keep more decimal places or round as needed, but typically to one or two decimal places)

Answer:

The percent of change in the city population is approximately \( 16.7\% \) (or \( 16.69\% \) if we don't round)