SSC (English Medium) Class 8Maharashtra State Board
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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

#### 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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