Question

the table shows the participation in a schools debate club during the last four years.
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 36%.
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%.

Explanation:

Step1: Calculate growth rate formula

The formula for percentage growth is \(\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times100\%\)

Step2: Calculate growth between year 1 - 2

Old value \(= 14\), new value \(= 19\). Growth rate \(=\frac{19 - 14}{14}\times100\%=\frac{5}{14}\times100\%\approx35.71\%\)

Step3: Calculate growth between year 2 - 3

Old value \(= 19\), new value \(= 25\). Growth rate \(=\frac{25 - 19}{19}\times100\%=\frac{6}{19}\times100\%\approx31.58\%\)

Step4: Calculate growth between year 3 - 4

Old value \(= 25\), new value \(= 33\). Growth rate \(=\frac{33 - 25}{25}\times100\%=\frac{8}{25}\times100\% = 32\%\)

Answer:

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