3.90: Straight-line log graph for lg(2y+1)

0606/12/M/J/22 — Question 3 · 7 marks

Variables xx and yy are such that, when lg(2y+1)\mathrm{lg}(2y + 1) is plotted against x2x^{2}, a straight-line graph through (1,1)(1, 1) and (2,5)(2, 5) is obtained.
(a)
Find yy in terms of xx.
[4]
(b)
Find the value of yy when x=32x = \dfrac{3}{2}.
[1]
(c)
Find the value of xx when y=2y = 2.
[2]