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mathskit

A question of proportionality

Proportional relationships help us to understand how changing one variable affects another

The idea of proportional relationships is commonly seen in GCSE maths and science lessons. Often students understand these to be a simple case of ‘when one goes up, the other goes up’. Unfortunately, at A-level this lacks the detail necessary to tell the full story.

If we think about Hooke’s law, we know that the extension of a spring is directly proportional to the force applied. In other words, as we increase the force, the extension will increase:

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