1.16: Linear law: ln⁡y\ln y against 1x\dfrac{1}{x}

0606/13/O/N/16 — Question 7 · 8 marks

When ln⁡y\ln y is plotted against 1x\dfrac{1}{x}, a straight line is obtained passing through the points (1.5,3.5)(1.5, 3.5) and (4,1.5)(4, 1.5).
(i)
Given that y=Aeb/xy = Ae^{b/x}, find the value of AA and of bb.
[4]
(ii)
Find the value of yy when x=0.32x = 0.32.
[2]
(iii)
Find the value of xx when y=20y = 20.
[2]