Total employment at a company rose from 2,990,000 employees in December 2009 to 3,105,900 employees in December 2015.  What was the relative change in employment?

To calculate the relative change in employment, we use the following formula:

\[
\text{Relative change} = \frac{\text{New value} - \text{Old value}}{\text{Old value}} \times 100
\]

Given:
- Old value (employment in December 2009) = 2,990,000
- New value (employment in December 2015) = 3,105,900

Substitute the values into the formula:

\[
\text{Relative change} = \frac{3,105,900 - 2,990,000}{2,990,000} \times 100
\]

Let's compute this.

\[
\text{Relative change} = \frac{115,900}{2,990,000} \times 100 \approx 3.88\%
\]

The relative change in employment from December 2009 to December 2015 is approximately **3.88%**.

Would you like further details or explanations?

Here are five related questions to expand on this topic:
1. How do you calculate the absolute change in employment?
2. What is the difference between absolute and relative change?
3. How would you calculate the annual growth rate based on this relative change?
4. Can you apply this formula to any other company or economic metric?
5. What factors might have contributed to the employment growth over this period?

**Tip:** The relative change gives you a better sense of the percentage growth or decline, while absolute change shows the exact difference.

Total employment at a company rose from 2,990,000 employees in December 2009 to 3,105,900 employees in December 2015. What was the relative change in employment?

Discover how to calculate the relative change in employment from December 2009 to December 2015 using percentage change. This problem involves understanding key mathematical concepts such as relative change and applying formulas to real-world scenarios. Suitable for students in Grades 9-10.

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