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. Round to the nearest hundredth

To calculate the percent change in the population of the city, we use the following formula:

\[
\text{Percent Change} = \frac{\text{New Population} - \text{Old Population}}{\text{Old Population}} \times 100
\]

### Step 1: Identify the given values
- New Population: 55,112
- Old Population: 47,230

### Step 2: Subtract the old population from the new population
\[
55,112 - 47,230 = 7,882
\]

### Step 3: Divide the population difference by the old population
\[
\frac{7,882}{47,230} \approx 0.1668
\]

### Step 4: Multiply by 100 to get the percent change
\[
0.1668 \times 100 = 16.68\%
\]

### Final Answer:
The percent change in the city's population is approximately **16.68%**.

Would you like any further clarification or details?

Here are 5 related questions:
1. How would the formula change if the population decreased instead of increased?
2. Can you calculate the percent increase if the population grew to 60,000?
3. What is the population increase in absolute numbers?
4. How do you interpret the significance of a 16.68% increase in population for a city?
5. What is the population difference needed for a 20% increase?

**Tip**: Always check if the change is positive (increase) or negative (decrease) to ensure the correct interpretation of percent change.

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. Round to the nearest hundredth.

Learn how to calculate the percent change in a city's population from 47,230 to 55,112 with a step-by-step guide. This problem covers the concept of percent change and basic arithmetic operations. Suitable for students in Grades 6-8.

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