GCSE Maths (Edexcel)

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Deriving Inverse Proportionality Equations

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

Deriving Inverse Proportionality Equations

4:14 Inverse Proportionality
Spec R13
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  • Inverse proportionality means that when one quantity increases, the other decreases, and vice versa
  • The constant of proportionality (k) can be found by using known values that satisfy the equation
  • The equation for inverse proportionality can be written as y = k/x or x = k/y
  • To find the constant of proportionality, substitute the given values into the equation and solve for k
  • Once the constant of proportionality is found, it can be substituted back into the original equation to relate the variables
  • In the example given, the variables p and q are inversely proportional, and the equation linking them is p = 30/q
  • In another example, the current (I) flowing through a light bulb is inversely proportional to the voltage (V), and the equation relating them is V = 60/I

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