Question

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

Answer 1

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.