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Proportion describes how two quantities change together. A unit rate is the amount for 1 unit, such as cost per apple or cartons per hour, and it often helps you spot the relationship.
In direct proportion, both quantities scale by the same factor, so if apples double, the cost doubles. The algebra model is y=kxy=kxy=kx, where kkk is the constant of proportionality.
In inverse proportion, increasing one quantity makes the other decrease by the same factor, so if workers double, the time halves. The algebra model is y=kxy=\frac{k}{x}y=xk.
Question 1
2 marksA machine fills 1000 bottles in 5 hours.
Work out how many hours it would take the machine to fill 1200 bottles.
What does a unit rate represent?
Revision notes for Edexcel GCSE Maths Direct and Inverse Proportion. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.
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A graph of yyy against xxx is a straight line through the origin and passes through the point (2,10)(2,10)(2,10). Which formula connects yyy and xxx?