Higher Paper 2

\begin{aligned} &y\propto x^2\Rightarrow y=kx^2.\; y=5\text{ when }x=1\Rightarrow k=5\;\Rightarrow y=5x^2.\\ &x\propto\tfrac{1}{w}\Rightarrow x=\tfrac{c}{w}.\; x=3\text{ when }w=0.5\Rightarrow c=3\times0.5=1.5.\\ &\text{For }w=0.25:\; x=\tfrac{1.5}{0.25}=6.\\ &\therefore\; y=5\times6^2=5\times36=180.\end{aligned}