One year, the population of a city was 152,000. Several years later it was 130,720. Find the percent decrease.

1. Break Down the Problem

To find the percent decrease in the population, we will:

1. Calculate the decrease in population.
2. Find the percent decrease using the formula for percent change.

2. Relevant Concepts

The formula for percent decrease is given by: $\text{Percent Decrease} = \left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100$

3. Analysis and Detail

1. Calculate the decrease in population: $\text{Decrease} = \text{Original Value} - \text{New Value} = 152,000 - 130,720 = 21,280$

2. Find the percent decrease: $\text{Percent Decrease} = \left( \frac{21,280}{152,000} \right) \times 100$

4. Verify and Summarize

Calculating the above expression: $\text{Percent Decrease} = \left( \frac{21,280}{152,000} \right) \times 100 \approx 13.98\%$

Final Answer

The percent decrease in the population is approximately $13.98\%$.