Maharashtra State BoardSSC (English Medium) 8th Standard
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Find Constant of Variation and Write Equation of Variation for Every Example Given Below. P ∝ 1 Q ; If P = 15 Then Q = 4 - Mathematics

Sum

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

p ∝ \[\frac{1}{q}\] ; if p = 15 then q = 4

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Solution

\[p \propto \frac{1}{q}\]

\[\therefore   p = \frac{k}{q}\] , where k is constant of variation

When p = 15, q = 4.

\[\therefore   15 = \frac{k}{4}\] 

\[ \Rightarrow k = 15 \times 4 = 60\]

So, the equation of variation is 

\[p = \frac{60}{q}\] or pq = 60.
Concept: Inverse Variation
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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 7 Variation
Practice Set 7.2 | Q 2.1 | Page 38
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