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Problems and Problem Solving - Ministry of Education

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In the table below the first difference increases by 2 each time.<br />

We can, therefore, predict that if there are seven clubs there will be 12 more visits than when<br />

there were six clubs. We can also complete the following table.<br />

No. <strong>of</strong><br />

clubs<br />

No. <strong>of</strong><br />

visits<br />

4 5 6 7 8 9 10 12 14 20 30 50<br />

12 20 30 42<br />

Using this technique we can count up to 50 clubs to determine the number <strong>of</strong> visits made. Obviously,<br />

this would be a time-consuming process. It would, therefore, be better, if we could determine<br />

a relationship between the number <strong>of</strong> clubs <strong>and</strong> the number <strong>of</strong> visits – in this way we would<br />

be able to predict the number <strong>of</strong> visits as long as we knew the number <strong>of</strong> clubs.<br />

This relationship is a vertical one (top-down) <strong>and</strong> is shown below:<br />

46 PROBLEMS AND PROBLEM SOLVING<br />

<strong>Problem</strong><strong>Solving</strong>.indd 46<br />

8/24/12 6:55:59 PM

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