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

Numerical solution of equations — practice question

The variables $x$ and $y$ are related by the equation $y = K(2^{px})$, where $K$ and $p$ are constants. The graph of $\ln y$ plotted against $x$ is a straight line that goes through $(1.35, 1.87)$ and $(3.35, 3.81)$, as shown in the diagram.
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Determine the values of $K$ and $p$ correct to $2$ decimal places.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write down or show $\ln y=\ln K+p x\ln 2$

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