The population of a town increased from 3700 people in the year 2007 to 5250 people in 2009. Find the absolute and relative (percent) increase.Round to the nearest tenth of a percent.

To find the **absolute increase** and the **relative (percent) increase**, we can follow these steps:

### 1. **Absolute Increase**
The absolute increase is simply the difference between the population in 2009 and the population in 2007.

\[
\text{Absolute increase} = 5250 - 3700 = 1550
\]

So, the **absolute increase** is **1550 people**.

### 2. **Relative (Percent) Increase**
The percent increase is calculated using the formula:

\[
\text{Percent increase} = \left( \frac{\text{Absolute increase}}{\text{Initial population}} \right) \times 100
\]

Substitute the known values:

\[
\text{Percent increase} = \left( \frac{1550}{3700} \right) \times 100
\]

\[
\text{Percent increase} = 0.4189 \times 100 = 41.89\%
\]

Rounding to the nearest tenth:

\[
\text{Percent increase} \approx 41.9\%
\]

### Final Results:
- **Absolute increase** = **1550 people**
- **Relative (percent) increase** = **41.9%**

Would you like further details on any part of the solution?

Here are 5 questions that expand on the topic:
1. How does the percent increase change if the population growth spans more than two years?
2. What would be the relative increase if the population had grown to 6000 by 2009?
3. Can the percent increase ever exceed 100%, and what does that imply?
4. How would you calculate the average annual population growth over multiple years?
5. What is the significance of using percent increase in population studies?

**Tip:** When calculating percentage increase, always use the original value (starting point) as the denominator to get an accurate measure of growth.

The population of a town increased from 3700 people in the year 2007 to 5250 people in 2009. Find the absolute and relative (percent) increase. Round to the nearest tenth of a percent.

Find the absolute increase and percent increase in population as it grows from 3700 in 2007 to 5250 in 2009. This step-by-step solution explains how to calculate population growth and round percentages, suitable for Grades 6-8.

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