CAIE P2 2003 November — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2003
SessionNovember
TopicExponential Functions

2
\includegraphics[max width=\textwidth, alt={}, center]{f5be66c3-7234-4039-9b66-199b35430c7d-2_750_1102_404_520} Two variable quantities \(x\) and \(y\) are related by the equation $$y = k \left( a ^ { - x } \right)$$ where \(a\) and \(k\) are constants. Four pairs of values of \(x\) and \(y\) are measured experimentally. The result of plotting \(\ln y\) against \(x\) is shown in the diagram. Use the diagram to estimate the values of \(a\) and \(k\).