O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2014 · Q88 Marks
The table shows values of variables V and p. V 10 50 100 200 p 95.0 8.5 3.0 1.1
- (i)By plotting a suitable straight line graph, show that V and p are related by the equation p = kV^n, where k and n are constants.[4]
- (ii)Use your graph to find the value of n,[2]
- (iii)Use your graph to find the value of p when V = 35.[2]
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 2014). The mark or mark type is shown in brackets.
- [B1] B1 for statement, but may be implied by later work.
- [M1] M1 for plotting a suitable graph
- [A2,1,0] -1 for each error in points plotted
- [DM1] DM1 for equating numerical gradient to n
- [A1] A1
- [DM1] DM1 for use of their graph or substitution into their equation.
- [A1] A1 Allow 13 to 16
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