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Question
Find constant of variation and write equation of variation for the example given below.
p ∝ \[\frac{1}{q}\]; if p = 15 then q = 4
Solution
\[p \propto \frac{1}{q}\]
\[\therefore p = \frac{k}{q}\] , where k is constant of variation
When p = 15, q = 4.
\[\therefore 15 = \frac{k}{4}\]
\[ \Rightarrow k = 15 \times 4 = 60\]
So, the equation of variation is
\[p = \frac{60}{q}\] or pq = 60.
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