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'Take Your Dog for a Walk' printed from http://nrich.maths.org/

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Each day Mr Pearson takes his dog for a walk.

You can see him on the interactivity below.

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Try moving Mr Pearson and his dog using your computer mouse. The graph shows how far Mr Pearson is walking from his house after a certain amount of time.

What happens to the graph once Mr Pearson gets back to his house after his walk?

Can you make a curved line on the graph?

Describe how Mr Pearson must walk to create this curve.

How must Mr Pearson walk to make the curve steeper?

And can you make the curve shallower? How does Mr Pearson walk this time?

Some graphs for you to try to reproduce can be found in the notes .