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

Answer 1

\[z \propto \frac{1}{w}\]

\[\therefore   z = \frac{k}{w}\], 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.