One year, the population of a city was 51,000. Several years later it was 44,880. Find the percent decrease.

To find the percent decrease, we use the following formula:

\[
\text{Percent Decrease} = \left( \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \right) \times 100
\]

Given:
- Initial population = 51,000
- Final population = 44,880

Substitute the values:

\[
\text{Percent Decrease} = \left( \frac{51,000 - 44,880}{51,000} \right) \times 100
\]
\[
\text{Percent Decrease} = \left( \frac{6,120}{51,000} \right) \times 100
\]
\[
\text{Percent Decrease} = 0.12 \times 100 = 12\%
\]

Thus, the population decreased by **12%**.

Would you like further details or have any questions?

Here are 5 related questions to explore:
1. How would you calculate percent increase in population if it had grown instead?
2. What is the formula for finding the new population after a given percent increase?
3. How can we determine the time it took for this population decrease if a constant rate was assumed?
4. Can you calculate the percent decrease if the initial population was different, say 60,000?
5. How can you represent this situation graphically?

**Tip**: To ensure accurate results in percentage change problems, always subtract the final value from the initial value first.

Learn how to calculate the percent decrease in population from 51,000 to 44,880. This problem covers key mathematical concepts like percent change and proportions. Follow the step-by-step guide for solving this problem, suitable for students in Grades 6-8.

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