Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The variables $x$ and $y$ obey the relation $ay = b^x$, with $a$ and $b$ as constants. In the diagram, the graph of $\ln y$ against $x$ is a straight line that goes through the points $(0.50, 2.24)$ and $(3.40, 8.27)$.
(main)[4]

Determine the values of $a$ and $b$. Give each answer correct to $1$ significant figure.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up a correct pair of equations in $a$ and $b$

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