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Inverse Proportion

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

Notation

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.
Days taken are inversely proportional to builders

Days taken are inversely proportional to builders

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

Sub in b = 4

  • We want to know the days taken for 4 builders to build the wall.
Jump to other topics
1

Number

1.1

Place Value

1.2

Factors & Multiples

1.3

Operations

1.4

Fractions, Decimals & Percentages

1.5

Growth & Decay

1.6

Measurements & Units

1.7

Accuracy

2

Algebra

2.1

Introduction to Algebra

2.2

Graphs

2.3

Solving Equations

2.4

Sequences

3

Ratio, Proportion & Rates of Change

4

Geometry & Measures

4.1

Introduction to Geometry

4.2

Ruler & Compass Constructions

4.3

Perimeter & Area

4.4

Triangles, Quadrilaterals & Circles

4.5

Transformations

4.6

Triangle Formulae

4.7

3D Shapes

4.8

Vectors

5

Probability

6

Statistics

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