#### Question

Find constant of variation and write equation of variation for every 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.

Is there an error in this question or solution?

Solution Find Constant of Variation and Write Equation of Variation for Every Example Given Below. Z ∝ 1 W ; When Z = 2.5 Then W = 24 Concept: Inverse Variation.