Mathematics 0580 · IGCSE · Graphs in practical situations

Graphs in practical situations — practice question

Michael’s route from his home to the beach is represented by the travel graph. The vertical axis gives Distance (km), marked from Home (0) up to Beach (12). The horizontal axis shows Time running from 08:00 to 11:00. A straight line climbs from 08:00 to around 09:15 and reaches 8 km, followed by a flat section up to 10:00, and then another straight line rises to 12 km at 11:00.
(a)[1]

At what time did he set off?

(b(i))[1]

Work out the distance from home when he stopped to rest.

(b(ii))[1]

For how many minutes was he stationary?

(c)[1]

Explain how the graph shows that Michael was travelling faster before the stop than afterwards.

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