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Determine the values of $K$ and $a$ correct to $2$ significant figures.
Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
The variables $x$ and $y$ are related by $y = \frac{K}{a^{2x}}$, where $K$ and $a$ are constants. A plot of $\ln y$ against $x$ is a straight line that passes through the points $(0.6, 1.81)$ and $(1.4, 1.39)$, as the diagram shows.