CAIE P3 2005 November — Question 2

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2005
SessionNovember
TopicCurve Sketching
TypeLogarithmic graph for power law

2
\includegraphics[max width=\textwidth, alt={}, center]{9275a3ed-8820-481b-9fc8-28c21b81dbed-2_559_789_513_678} Two variable quantities \(x\) and \(y\) are related by the equation \(y = A x ^ { n }\), where \(A\) and \(n\) are constants. The diagram shows the result of plotting \(\ln y\) against \(\ln x\) for four pairs of values of \(x\) and \(y\). Use the diagram to estimate the values of \(A\) and \(n\).