4MA0 Foundation January 2014 Paper 2 Q8

EdexcelFoundationOld spec6 marksForming Equations Solving Simple Equations

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)

(b) Bridgette travelled in a Budget Taxi.
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)

Scheme	Marks
(35 − 3) ÷ 2	M1
16	A1
	(2)

Mark scheme (c)

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