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How far have these students walked by the time the teacher's car reaches them after their bus broke down?

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Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.

Take Your Dog for a Walk

Age 7 to 11 Challenge Level:

Congratulations to those of you who correctly answered this problem. Holly from Stoke by Nayland Middle School sent in this solution:

If the man gets closer to his house then the graph line gets lower and lower.

The slower the man walks the more curvy the line gets, if the man goes away from the house really slowly and then really slowly towards the house then you can make a curvy line.

To make it steeper you have to make him go faster and then when you are on the bend you stay still for a bit to make it smoother.

Dominic gives a concise answer:

To curve steeper you would have to walk faster and to curve shallower you would have to walk slower.