Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

The variables $x$ and $y$ obey the relation $y = Kx^m$, where $K$ and $m$ are constants. The graph of $\ln y$ plotted against $\ln x$ is a straight line running through the points $(0.22, 3.96)$ and $(1.32, 2.43)$, as shown in the diagram.
(main)[6]

Find the values of $K$ and $m$, accurate to $2$ significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or indicate that $\ln y=\ln K+m\ln x$

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