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. X ∝ 1 √ Y ; If X = 15 Then Y = 9 - SSC (English Medium) Class 8 - Mathematics

#### Question

Find constant of variation and write equation of variation for every example given below.

x ∝ $\frac{1}{\sqrt{y}}$ ; if x = 15 then y = 9

#### Solution

$x \propto \frac{1}{\sqrt{y}}$

$\therefore x = \frac{k}{\sqrt{y}}$ , where k is constant of variation

When x = 15, y = 9.

$\therefore 15 = \frac{k}{\sqrt{9}}$

$\Rightarrow 15 = \frac{k}{3}$

$\Rightarrow k = 15 \times 3 = 45$

So, the equation of variation is $x = \frac{45}{\sqrt{y}}$ or $x\sqrt{y} = 45$ .

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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.2 | Q: 2.4 | Page no. 38
Solution Find Constant of Variation and Write Equation of Variation for Every Example Given Below. X ∝ 1 √ Y ; If X = 15 Then Y = 9 Concept: Inverse Variation.
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