Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The variables $x$ and $y$ are related by $y = A x^k$, with $A$ and $k$ as constants. The graph of $\ln y$ plotted against $\ln x$ is a straight line that passes through the points $(0.56,\, 2.87)$ and $(0.81,\, 3.47)$, as shown in the diagram.
(main)[5]

Find the value of $k$, and the value of $A$ correct to 2 significant figures.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or make clear $\ln y=\ln A+k\ln x$

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