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

Numerical solution of equations — practice question

The variables $x$ and $y$ are linked by $a^y = bx$, where $a$ and $b$ are constants. The graph of $y$ plotted against $\ln x$ is a straight line that passes through $(0.336, 1.00)$ and $(1.31, 1.50)$, as shown in the diagram.
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Find $a$ and $b$. Give each answer to the nearest integer.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply $y\ln a=\ln b+\ln x$

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