Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
The variables $x$ and $y$ obey the equation $y = Kx^m$, with $K$ and $m$ as constants. The graph of $\ln y$ plotted against $\ln x$ is a straight line that passes through the points $(0, 2.0)$ and $(6, 10.2)$, as illustrated in the diagram.
(main)[5]
Determine the values of $K$ and $m$, 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 show $\ln y=\ln K+m\ln x$” …