Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
The variables $x$ and $y$ are linked by $a^y = bx$, where $a$ and $b$ are constants. The graph of $y$ plotted against $\ln x$ is a straight line that passes through $(0.336, 1.00)$ and $(1.31, 1.50)$, as shown in the diagram.
(main)[4]
Find $a$ and $b$. Give each answer to the nearest integer.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply $y\ln a=\ln b+\ln x$” …