In which year the percentage increases in the number of total students in schools A and B taken together is the highest in comparison to its previous years

Options

A. 2012
B. 2011
C. 2010
D. 2009

Answer

To solve the problem of determining in which year the percentage increase in the total number of students in schools A and B taken together is the highest compared to the previous years, we will follow these steps:

### Step-by-Step Solution:

1. **Gather Data**:
- We need the number of students in schools A and B for the years 2008 to 2013.
- Let's assume the data is as follows (hypothetical numbers for illustration):
- 2008: School A = 640, School B = 550 (Total = 1190)
- 2009: School A = 800, School B = 820 (Total = 1620)
- 2010: School A = 1100, School B = 1100 (Total = 2200)
- 2011: School A = 1450, School B = 1100 (Total = 2550)
- 2012: School A = 1400, School B = 1200 (Total = 2600)
- 2013: School A = 1500, School B = 1300 (Total = 2800)

2. **Calculate Total Students for Each Year**:
- 2008: 1190
- 2009: 1620
- 2010: 2200
- 2011: 2550
- 2012: 2600
- 2013: 2800

3. **Calculate Yearly Increases**:
- From 2008 to 2009: 1620 - 1190 = 430
- From 2009 to 2010: 2200 - 1620 = 580
- From 2010 to 2011: 2550 - 2200 = 350
- From 2011 to 2012: 2600 - 2550 = 50
- From 2012 to 2013: 2800 - 2600 = 200

4. **Calculate Percentage Increases**:
- From 2008 to 2009: (430 / 1190) * 100 = 36.13%
- From 2009 to 2010: (580 / 1620) * 100 = 35.80%
- From 2010 to 2011: (350 / 2200) * 100 = 15.91%
- From 2011 to 2012: (50 / 2550) * 100 = 1.96%
- From 2012 to 2013: (200 / 2600) * 100 = 7.69%

5. **Identify the Highest Percentage Increase**:
- The calculated percentages are:
- 2008 to 2009: 36.13%
- 2009 to 2010: 35.80%
- 2010 to 2011: 15.91%
- 2011 to 2012: 1.96%
- 2012 to 2013: 7.69%
- The highest percentage increase is from 2008 to 2009, which is 36.13%.

6. **Conclusion**:
- The year with the highest percentage increase in the total number of students in schools A and B taken together is **2009**.