0606 P12 - Jun 2017 - Q7 - 9 marks
8564
It is given that \(y=A(10^{bx})\), where \(A\) and \(b\) are constants. The straight line graph obtained when \(\lg y\) is plotted against \(x\) passes through the points \((0.5,2.2)\) and \((1.0,3.7)\).
(i) Find \(A\) and \(b\).
Using your values of \(A\) and \(b\), find
(ii) the value of \(y\) when \(x=0.6\),
(iii) the value of \(x\) when \(y=600\).
