Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

The variables $x$ and $y$ are linked by $y = A b^{-x}$, with $A$ and $b$ as constants. As illustrated, the graph of $\ln y$ against $x$ is a straight line that goes through the points $(1, 2.9)$ and $(3.5, 1.4)$.
(main)[6]

Find $A$ and $b$, each correct to 2 decimal places.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply $\ln y = \ln A - x \ln b$

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