Higher November 2017 Paper 3 Q16
16 The petrol consumption of a car, in litres per 100 kilometres, is given by the formula
\(\text{Petrol consumption} = \dfrac{100 \times \text{Number of litres of petrol used}}{\text{Number of kilometres travelled}}\)
Nathan’s car travelled 148 kilometres, correct to 3 significant figures.
The car used 11.8 litres of petrol, correct to 3 significant figures.
Nathan says,
“My car used less than 8 litres of petrol per 100 kilometres.”
Could Nathan be wrong?
You must show how you get your answer. (3)
| Answer | Mark | Notes |
|---|---|---|
| Yes and correct working | B1 | for 147.5 or 148.5 or \(148.4999\ldots\) or 11.75 or 11.85 or \(11.84999\ldots\) |
| P1 | substitutes \(11.8 \lt \text{UB} \leqslant 11.85\) and \(147.5 \leqslant \text{LB} \lt 148\) in the formula to work out petrol consumption | |
| A1 | for ‘Yes’ and \(8.03(3898305\ldots)\) from correct working |