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

Numerical solution of equations — practice question

Let $x$ and $y$ be related by the equation $a^y = kx$, with $a$ and $k$ treated as constants. The graph of $y$ against $\ln x$ is linear and passes through the points $(1.03, 6.36)$ and $(2.58, 9.00)$, as displayed in the diagram.
(main)[5]

Find the values of $a$ and $k$, and give each one correct to 2 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 make clear equation $y\ln a=\ln k+\ln x$

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