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Find Constant of Variation and Write Equation of Variation for Every Example Given Below. Z ∝ 1 W ; When Z = 2.5 Then W = 24 - SSC (English Medium) Class 8 - Mathematics

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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.

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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.2 | Q: 2.2 | Page no. 38
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.
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