0606 P23 - Jun 2020 - Q7 - 8 marks
8157
Variables \(x\) and \(y\) are connected by the relationship
\(y=Ax^n,\)
where \(A\) and \(n\) are constants.
(a) Transform the relationship \(y=Ax^n\) to straight line form.
When \(\ln y\) is plotted against \(\ln x\), a straight line graph passing through the points \((0,0.5)\) and \((3.2,1.7)\) is obtained.
(b) Find the value of \(n\) and of \(A\).
(c) Find the value of \(y\) when \(x=11\).
