3.2.2

Turn Ratios into Equations

Test yourself

Ratios as Linear Functions

A pencil case contains blue and green pens in the ratio 2 : 3. Write this ratio as a linear function:

Illustrative background for Divide the left side by 2 and the right side by 3Illustrative background for Divide the left side by 2 and the right side by 3 ?? "content

Divide the left side by 2 and the right side by 3

  • There are twice as many blue pens as a single part of the ratio, and three times as many green pens as a single part of the ratio.
  • So a single part of the ratio is equal to b2\frac{b}{2} and g3\frac{g}{3}.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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