A-LevelMathematicsLogarithmic and exponential functions9709/32 · Oct/Nov 2024 · Q64 Marks
The variables x and y satisfy the equation ay = bˣ, where a and b are constants. The graph of lny against x is a straight line passing through the points (0.50, 2.24) and (3.40, 8.27), as shown in the diagram. Find the values of a and b. Give each value correct to 1 significant figure.
- (a)The variables x and y satisfy the equation ay = bˣ, where a and b are constants. The graph of lny against x is a straight line passing through the points (0.50, 2.24) and (3.40, 8.27), as shown in the diagram. Find the values of a and b. Give each value correct to 1 significant figure.[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 (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [*M1] Form a pair of equations in a and b
- [DM1] Carry out a correct method for finding lna or lnb or a or b
- [A1] Obtain value a ≈ 0.3
- [A1] Obtain value b = 8
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