A-LevelMathematicsLogarithmic and exponential functions9709/33 · May/June 2024 · Q44 Marks
The variables x and y satisfy the equation ky = eᶜˣ, where k and c are constants. The graph of ln y against x is a straight line passing through the points (2.80, 0.372) and (5.10, 2.21), as shown in the diagram. [Figure 4.1] Find the values of k and c. Give each value correct to 2 significant figures.
- The variables x and y satisfy the equation ky = eᶜˣ, where k and c are constants. The graph of ln y against x is a straight line passing through the points (2.80, 0.372) and (5.10, 2.21), as shown in the diagram. [Figure 4.1] Find the values of k and c. Give each value correct to 2 significant figures.[4]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [B1] State or imply that ln k + ln y = cx or ln y = cx + ln (1/k) etc.
- [M1] Carry out a completely correct method for finding ln k or c
- [A1] Obtain value c = 0.80
- [A1] Obtain value k = 6.5
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