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

Numerical solution of equations — practice question

The variables $x$ and $y$ are linked by the equation $a y = kx$, where $a$ and $k$ are constants. The plot of $y$ against $\ln x$ is a straight line that goes through the points $(1.03, 6.36)$ and $(2.58, 9.00)$, as shown in the diagram.
(main)[5]

Find the values of $a$ and $k$, and give each answer 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 imply the equation $y\ln a=\ln k+\ln x$

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