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If N Varies Directly as M, Complete the Following Table. - SSC (English Medium) Class 8 - Mathematics

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Question

If n varies directly as m, complete the following table. 

m 3 5 6.5 ... 1.25
n 12 20 ... 28 ...

Solution

It is given that n varies directly as m i.e. 

\[n \propto m\]
∴ n = km, where k is constant of variation

When m = 3, n = 12.

∴ 12 = k × 3

⇒ k = 4

So, the equation of variation is n = 4m.

When m = 6.5,

n = 4 × 6.5 = 26

When n = 28,

28 = 4n

 ⇒ n = 7

When m = 1.25,

n = 4 × 1.25 = 5

The complete table is given below.
m 3 5 6.5 7 1.25
n 12 20 26 28 5
 
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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 7: Variation
Practice Set 7.1 | Q: 4 | Page no. 36
Solution If N Varies Directly as M, Complete the Following Table. Concept: Direct Variation.
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