GCSE Maths (AQA)

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Inverse Proportionality

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Ratio, Proportion and Rates of Change Ratio, Proportion and Rates of Change

Inverse Proportionality

5:21 Inverse Proportionality
Spec R10 R13
  • Two quantities are inversely proportional if increasing one causes the other to decrease by the same multiple
  • Inverse proportionality often comes up in exams
  • Inverse proportionality can be shown as y = k/x, where k is a constant of proportionality
  • Inverse proportionality can be represented in a table of values
  • Inverse proportionality is similar to direct proportionality
  • Points scored in a puzzle game are inversely proportional to the number of moves taken
  • The formula for calculating points is p = 5040/m
  • Rearrange the formula to make m the subject: pm = 5040, m = 5040/p
  • Substitute the given number of points (840) to find the value of m: m = 5040/840 = 6

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