. The population of a town increased from 3,250 in 2008 to 4,300 in 2010. Find the
absolute and relative (percent) increase.

To find both the absolute and relative (percent) increase in the population of the town from 2008 to 2010, we can use the following formulas:

### 1. **Absolute Increase**:
This is simply the difference between the final population and the initial population.
\[
\text{Absolute Increase} = \text{Population in 2010} - \text{Population in 2008}
\]
\[
\text{Absolute Increase} = 4,300 - 3,250 = 1,050
\]

### 2. **Relative (Percent) Increase**:
The percent increase is calculated using the formula:
\[
\text{Relative Increase (\%)} = \left( \frac{\text{Absolute Increase}}{\text{Population in 2008}} \right) \times 100
\]
\[
\text{Relative Increase (\%)} = \left( \frac{1,050}{3,250} \right) \times 100 = 32.31\%
\]

### Final Answers:
- **Absolute Increase** = 1,050 people
- **Relative (Percent) Increase** = 32.31%

Would you like more details or have any questions about this?

### Follow-up Questions:
1. What would the population be in 2012 if the same percent increase occurred from 2010 to 2012?
2. How do you calculate the population growth rate over multiple years?
3. What is the difference between absolute and relative change in various contexts?
4. How would the percent increase change if the population had only grown to 4,000 in 2010?
5. How can you use a logarithmic function to model population growth?

### Tip:
When calculating relative increase, always ensure that you're dividing by the initial value, not the final one, to get an accurate percentage.

The population of a town increased from 3,250 in 2008 to 4,300 in 2010. Find the absolute and relative (percent) increase.

Learn how to calculate both the absolute and relative (percent) increase in population from 2008 to 2010. This problem demonstrates key arithmetic concepts using real data, with a 1,050-person increase and a 32.31% growth. Ideal for students in Grades 6-8.

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