Proportion - Inverse

In this course, we will learn what inverse proportion is and how one quantity decreases as the other increases in an inverse proportion scenario. We will also be introduced to the inverse proportion symbol, learn how to convert it into an equation, and eventually determine the algebraic inverse proportion equation.

Related Lessons:
  1. S2 Proportion – Direct

Inverse Proportion

Inverse proportion is the opposite of direct proportion, where an increase in one quantity causes a decrease in another. Both direct and inverse proportion use the same proportion symbol, but in inverse proportion, the variable on the right is the reciprocal of the corresponding variable in direct proportion.

Inverse Proportion Example 1

Given that \(y\) is inversely proportional to and that \(y=32\) when \(x=\frac{1}{4}\). Write an equation connect \(y\) and \(x\).

 

Inverse Proportion Example 2

It is given that r is inversely proportional to the square root of t. Given that when t = 16, find
  1. the equation connecting r and t
  2. the value of r when t = 256

Inverse Proportion Example 3

A source of light is observed from a distance. The amount of light received, L units is inversely proportional to the square of its distance, d metres. Given that L=9 when d=2,
  1. express L in terms of d
  2. find d when L=144
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Related Lessons:

  1. S2 Proportion – Direct

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