Interpreting Real-Life Graphs
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Interpreting Real-Life Graphs — Free MYP5 Mathematics (Standard) Practice Questions

1QuestionConnecting Graphs to Real SituationsConcept Practice
2 marks~3 minCriterion A
A cyclist's journey is shown on the distance–time graph.

Segment A: t=0t = 0 to t=10t = 10 s, distance increases from 00 m to 2020 m.
Segment B: t=10t = 10 s to t=20t = 20 s, distance remains constant at 2020 m.
Segment C: t=20t = 20 s to t=30t = 30 s, distance decreases from 2020 m to 00 m.
a
Calculate the gradient of Segment A. [1]
b
Interpret what the gradient of Segment B tells you about the cyclist's motion during that interval. [1]
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Solutions

2QuestionConnecting Graphs to Real SituationsAssessment Practice
4 marks~6 minCriterion C
A cyclist rides a hilly route. Her distance from the start is recorded every hour:

Time (h): 0, 1, 2, 3, 40,\ 1,\ 2,\ 3,\ 4
Distance (km): 0, 12, 20, 24, 300,\ 12,\ 20,\ 24,\ 30

A second cyclist rides a flat road at constant speed:

Time (h): 0, 1, 2, 3, 40,\ 1,\ 2,\ 3,\ 4
Distance (km): 0, 15, 30, 45, 600,\ 15,\ 30,\ 45,\ 60
a
Construct a distance–time graph showing both cyclists on the same axes. [1]
b
Explain why one graph is a straight line and the other is a curve, referring to each cyclist's speed. [2]
c
The hilly-route cyclist claims she maintained an "acceptable average speed" of at least 88 km/h throughout every individual hour of her journey. Justify whether this claim is valid. [1]
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Solutions

3QuestionReading Distance-Time GraphsConcept Practice
3 marks~5 minCriterion C
A cyclist travels from town A to town B. The distance–time graph for the journey contains a horizontal segment.
a
Explain what the horizontal segment indicates about the cyclist's motion. [1]
b
Discuss one limitation of using a distance–time graph to represent this journey. In your response, refer to specific information that the graph does not show. [2]
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Solutions

4QuestionConnecting Graphs to Real SituationsAssessment Practice
4 marks~6 minCriterion D
A car journey is shown on the distance–time graph.

- Segment A: (0,0)(0, 0) to (2,120)(2, 120)
- Segment B: (2,120)(2, 120) to (5,120)(5, 120)
- Segment C: (5,120)(5, 120) to (7,0)(7, 0)

Time is in hours; distance is in kilometres.
a
Calculate the speed of the car during Segment A. [1]
b
Calculate the total distance travelled during the entire journey. [1]
c
The legal speed limit on this road is 55 km/h. Advise the driver whether they broke the speed limit at any point during the journey, justifying your answer with the speeds from all three segments. [2]
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Solutions

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