4MA0 Foundation January 2014 Paper 2 Q8
8 Budget Taxis use this rule to work out the cost, in euros (€), for taxi journeys.
3 euros
plus
2 euros for each kilometre travelled
(a) Claude travelled 4 kilometres in a Budget Taxi.
What was the cost of Claude’s journey? (2)
What was the cost of Claude’s journey? (2)
(b) Bridgette travelled in a Budget Taxi.
The cost was 35 euros.
How many kilometres did Bridgette travel? (2)
The cost was 35 euros.
How many kilometres did Bridgette travel? (2)
Economy Taxis use this rule to work out their cost, in euros (€), for taxi journeys.
8 euros
plus
1 euro for each kilometre travelled
(c) Find the distance, in kilometres, for which the cost of a journey in a Budget Taxi is the same as the cost of a journey in an Economy Taxi. (2)
| Scheme | Marks |
|---|---|
| 3 + (4 × 2) oe | M1 |
| 11 | A1 |
| (2) |
Notes
M1: Accept 3 + 4 × 2
A1: 14 with no working = M1A0
| Scheme | Marks |
|---|---|
| (35 − 3) ÷ 2 | M1 |
| 16 | A1 |
| (2) |
Notes
M1: Accept 35 − 3 ÷ 2
A1: 33.5 with no working = M1A0
| Scheme | Marks |
|---|---|
| \(\text{“}x\text{”} + 8 = 2\text{“}x\text{”} + 3\) | M1 |
| 5 | A1 |
| (2) | |
| (Total 6 marks) |
Notes
M1: \(\text{“}x\text{”} + 8\) & \(2\text{“}x\text{”} + 3\) seen
or correct table of costs for Budget and Economy taxis to include the costs for 5 km.
| km | B | E |
|---|---|---|
| 1 | 5 | 9 |
| 2 | 7 | 10 |
| 3 | 9 | 11 |
| 4 | 11 | 12 |
| 5 | 13 | 13 |