Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The variables $x$ and $y$ are linked by the equation $y = Ae^{(A-B)x}$, where $A$ and $B$ are constants. The plot of $\ln y$ against $x$ is a straight line and passes through the points $(0.4, 3.6)$ and $(2.9, 14.1)$, as shown in the diagram.
(main)[5]

Find the values of $A$ and $B$, accurate to $3$ 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 that $\ln y = \ln A + (A - B)x$

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