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 $y = a(b^x)$, where $a$ and $b$ are constants. A graph of $\ln y$ plotted against $x$ is a straight line that passes through the points $(0.75, 1.70)$ and $(1.53, 2.18)$, as shown in the diagram.
(main)[5]

Find $a$ and $b$, giving each correct to 2 decimal places.

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 that $\ln y = \ln a + x\ln b$

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