Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The variables $x$ and $y$ are linked by $y = A \times B^{\ln x}$, with $A$ and $B$ as constants. The plot of $\ln y$ against $\ln x$ is a straight line that goes through the points $(2.2,\,4.908)$ and $(5.9,\,11.008)$, as illustrated in the diagram.
(main)[5]

Find $A$ and $B$ 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 relation $\ln y=\ln A+\ln B\ln x$

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