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

Numerical solution of equations — practice question

The variables $x$ and $y$ are related by $y = \frac{K}{a^{2x}}$, with $K$ and $a$ as constants. The plot of $\ln y$ against $x$ is a straight line that goes through the points $(0.6, 1.81)$ and $(1.4, 1.39)$, as shown in the diagram.
(main)[6]

Find values of $K$ and $a$ correct to 2 significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State, or otherwise imply, $\ln y = \ln K - 2x \ln a$

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