FHSS 2025 P1 Q11

The table shows the values of two variables \(x\) and \(y\) from an experiment.
The two variables are connected by the equation \(\frac{\sqrt{x}}{y} = px + q\sqrt{x}\), where \(p\) and \(q\) are constants. The values of \(y\) are corrected to \(2\) decimal places.

1. Draw, on the grid provided on the next page, a straight line graph of \(\frac{1}{y}\) against \(\sqrt{x}\).[3]
2. Use your graph to estimate the value of \(p\) and of \(q\).[2]
3. Use your graph to estimate the value of \(y\) when \(x = 19\).[2]