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. S ∝ 1 T 2 ; If S = 4 Then T = 5 - SSC (English Medium) Class 8 - Mathematics

#### Question

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

s ∝ $\frac{1}{t^2}$ ; if s = 4 then t = 5

#### Solution

$s \propto \frac{1}{t^2}$

$\therefore s = \frac{k}{t^2}$,where k is constant of variation

When s = 4, t = 5.

$\therefore 4 = \frac{k}{5^2}$

$\Rightarrow 4 = \frac{k}{25}$

$\Rightarrow k = 25 \times 4 = 100$

So, the equation of variation is $s = \frac{100}{t^2}$ or st2 = 100.

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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.2 | Q: 2.3 | Page no. 38
Solution Find Constant of Variation and Write Equation of Variation for Every Example Given Below. S ∝ 1 T 2 ; If S = 4 Then T = 5 Concept: Inverse Variation.
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