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WAEC Mathematics 2014 Question 16

Question 16

Variation

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

  1. A.x ∝ z
  2. B.x ∝ 1/z
  3. C.x ∝ z2
  4. D.x ∝ 1/z2
Show the answer and explanation

Answer: B (x ∝ 1/z)

Explanation

x = k/y and y = cz, so x = k/(cz): x varies inversely as z.