3.4.3

Inverse Proportion

Test yourself

Inverse Proportion

3 builders take 12 days to build a wall. How long does it take 4 builders to build an identical wall?

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Notation

  • We write y α 1x and there is some number k such that y = kx.
  • The time taken to complete a job is inversely proportional to the number of people working on the job.
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Days taken are inversely proportional to builders

  • d = number of days taken
  • b = number of builders
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Sub in b = 4

  • We want to know the days taken for 4 builders to build the wall.

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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