If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14

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Solution

It is given that $m \propto n$ .

∴ m = kn, where k is constant of variation

When m = 154, n = 7.

∴ 154 = k × 7

⇒ k = $\frac{154}{7}$ = 22

Therefore, the equation of variation is m = 22n.

When n = 14,

m = 22 × 14 = 308

Thus, the value of m is 308.

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