Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The variables $x$ and $y$ obey $y = Ax^{-2p}$, where $A$ and $p$ are constants. The graph of $\ln y$ plotted against $\ln x$ is a straight line passing through the points $(-0.68, 3.02)$ and $(1.07, -1.53)$, as illustrated in the diagram.
(main)[5]

Find the values for $A$ and $p$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or infer the equation $\ln y = \ln A - 2p \ln x$

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