4MA0 Foundation June 2011 Paper 1 Q12
12 This rule can be used to work out the fare, in dirhams, for a taxi journey in Dubai.
(a) Paulo travelled 9 kilometres.
Work out his fare. (2)
Work out his fare. (2)
(b) Janine’s fare was 26 dirhams.
Work out the number of kilometres she travelled. (2)
Work out the number of kilometres she travelled. (2)
(c) Find a formula for the fare, \(C\) dirhams, for a taxi journey of \(d\) kilometres. (3)
| Scheme | Marks |
|---|---|
| 9 × 3 + 7 or 27 + 7 or 34 | M1 |
| 17 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| 26 × 2 − 7 or 45 or \(\dfrac{? \times 3 + 7}{2} = 26\) oe | M1 |
| 15 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| \(C = \dfrac{3d + 7}{2}\) oe | B3 |
| (3) | |
| (Total 7 marks) |
Notes
B3: B2 for \(\dfrac{3d + 7}{2}\) oe
B2 for \(C = 3d + 7 \div 2\) oe
B1 for \(3d + 7 \div 2\)
B1 for \(C =\) linear expression in \(d\)