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WAEC Mathematics 2024 Question 13

Question 13

Variation

A variable W varies partly as M and partly inversely as P. Which of the following correctly represents the relation with k1 and k2 as constants?

  1. A.W = k1M/(k2P)
  2. B.W = (k1 + k2)M/P
  3. C.W = k1M + k2/P
  4. D.W = (k1 + k2)M + P
Show the answer and explanation

Answer: C (W = k1M + k2/P)

Explanation

'Partly … and partly …' means a sum of two parts: one proportional to M (k1M) and one inversely proportional to P (k2/P).