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

Answer 1

\[p \propto \frac{1}{q}\]

\[\therefore   p = \frac{k}{q}\] , 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.