1.5: Linear law: lny\ln y against xx

0606/11/O/N/16 — Question 11 · 9 marks

The variables xx and yy are such that when lny\ln y is plotted against xx, a straight line graph is obtained. This line passes through the points x=4x = 4, lny=0.20\ln y = 0.20 and x=12x = 12, lny=0.08\ln y = 0.08.
(i)
Given that y=Abxy = Ab^{x}, find the value of AA and of bb.
[5]
(ii)
Find the value of yy when x=6x = 6.
[2]
(iii)
Find the value of xx when y=1.1y = 1.1.
[2]