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Question
Find constant of variation and write equation of variation for the example given below.
z ∝ \[\frac{1}{w}\] ; when z = 2.5 then w = 24
Solution
\[z \propto \frac{1}{w}\]
\[\therefore z = \frac{k}{w}\], where k is constant of variation
When z = 2.5, w = 24.
\[\therefore 2 . 5 = \frac{k}{24}\]
\[ \Rightarrow k = 2 . 5 \times 24 = 60\]
So, the equation of variation is \[z = \frac{60}{w}\] or zw = 60.
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