Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

x and y are linked by $y = Kx^p$, where $K$ and $p$ are constants. As shown in the diagram, the graph of $\ln y$ against $\ln x$ is a straight line that passes through $(1.28,\,3.69)$ and $(2.11,\,4.81)$.
(main)[5]

Determine the values of $K$ and $p$ 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 infer $\ln y = \ln K + p\ln x$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI