2.18: Linear law: lny\ln y against lnx\ln x

0606/23/M/J/20 — Question 7 · 8 marks

Variables xx and yy are connected by the relationship y=Axny = Ax^{n}, where AA and nn are constants. When lny\ln y is plotted against lnx\ln x a straight line graph passing through the points (0,0.5)(0, 0.5) and (3.2,1.7)(3.2, 1.7) is obtained.
(a)
Transform the relationship y=Axny = Ax^{n} to straight line form.
[2]
(b)
Find the value of nn and of AA.
[4]
(c)
Find the value of yy when x=11x = 11.
[2]