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SS1: MATHEMATICS - 2ND TERM

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Topic Content:

  • Joint Variation (Meaning, Examples)

What is Joint Variation?

A joint variation exists when a quantity varies directly and / or inversely with two or more other quantities. e.g.

G varies directly with M and t and inversely with the square of r i.e.

\( \scriptsize G \propto \normalsize \frac{Mt}{r^2}\scriptsize \; or \; G = \normalsize \frac{KMT}{r^2}\)

Where k is a constant.

Example 5.3.1:

The weight W kg of a metal bar varies jointly as its length L metres and the square of its diameter d mm. If W = 140 when d = 4 and L = 54, find d in terms of W and L (JAMB)

Solution:

\( \scriptsize W \propto Ld^2 \)

 

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