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CAIE IGCSE Mathematics Graphs in Practical Situations

Practise reading and completing travel or fare graphs and using horizontal sections, gradients and intersections to explain the situation.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Core

Exam points

  • read departure time, distance, cost or stopping duration from the graph's coordinates
  • draw a horizontal stop and a ruled constant-speed section from stated time and speed data
  • use where two fare graphs cross to decide when one taxi option is cheaper than the other

C2.9.1 Interpret practical graphs question 1

[Maximum number: 2]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (i)

(i)

The graph shows the cost, $ c, of travelling a distance, d kmd \mathrm{~km}, with Saanvi's Taxis.

[ 1 ]

Question (i)

(i)

Write down the cost of a 4 km journey.
$

[ 1 ]

Question (ii)

(ii)

Krishna's Taxis cost $ 5 to hire plus $ 2 for each kilometre travelled.

[ 1 ]

Question (i)

(i)

Mrs Singh wants to hire a taxi. She says that Saanvi's Taxis are always cheaper than Krishna's Taxis.

Is Mrs Singh correct?
Give a reason for your answer. Use your graph to help you. because

[ 1 ]
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