1.8: Linear law from a graph: lg⁡y\lg y against x2x^{2}

0606/12/M/J/16 — Question 8 · 8 marks

1.8 diagram
Variables xx and yy are such that when lg⁡y\lg y is plotted against x2x^{2}, the straight line graph shown above is obtained.
(i)
Given that y=Abx2y = Ab^{x^{2}}, find the value of AA and of bb.
[4]
(ii)
Find the value of yy when x=1.5x = 1.5.
[2]
(iii)
Find the positive value of xx when y=2y = 2.
[2]