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

Numerical solution of equations — practice question

The variables $x$ and $y$ obey the relationship $y = kx^a$, where $k$ and $a$ are constants. A plot of $\ln y$ against $\ln x$ is a straight line that passes through the points $(0.22,\, 3.96)$ and $(1.32,\, 2.43)$, as shown in the diagram.
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Determine the values of $k$ and $a$ correct to $3$ significant figures.

Worked solution & mark scheme

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

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