Question

The table shows the participation in a school's debate club during the last four years.
Year 1 2 3 4
Students 14 19 25 33

Between which two years did the club see the greatest growth? By what percent did it grow?
The greatest growth was between years 3 and 4. The growth between those years was about 32%.
The greatest growth was between years 1 and 2. The growth between those years was about 5%.
The greatest growth was between years 3 and 4. The growth between those years was about 8%.
The greatest growth was between years 1 and 2. The growth between those years was about 36%.

Answer 1

To determine the year with the greatest growth in the number of students in the debate club, we need to calculate the growth between each pair of consecutive years and then find the percentage growth.

1. **Growth from Year 1 to Year 2:**
- Students in Year 1: 14
- Students in Year 2: 19
- Growth: \(19 - 14 = 5\)
- Percentage growth: \(\frac{5}{14} \times 100 \approx 35.71\%\)

2. **Growth from Year 2 to Year 3:**
- Students in Year 2: 19
- Students in Year 3: 25
- Growth: \(25 - 19 = 6\)
- Percentage growth: \(\frac{6}{19} \times 100 \approx 31.58\%\)

3. **Growth from Year 3 to Year 4:**
- Students in Year 3: 25
- Students in Year 4: 33
- Growth: \(33 - 25 = 8\)
- Percentage growth: \(\frac{8}{25} \times 100 = 32\%\)

Based on these calculations:
- The greatest growth was between Year 1 and Year 2 with approximately 35.71%.
- Year 3 to Year 4 though has a growth of 32%.

Therefore, the correct statement regarding the greatest growth is:

**The greatest growth was between years 1 and 2. The growth between those years was about 36%.**