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