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UI Post-UTME Mathematics 2024 (Model questions) Question 16

Question 16

Variation

If y varies directly as x and inversely as z and when x = 2 and z = 3, y = 4, find y when x = 3 and z = 2

  1. A.6
  2. B.12
  3. C.15
  4. D.9
Show the answer and explanation

Answer: D (9)

Explanation

y = kx/z: 4 = 2k/3 gives k = 6. Then y = 6 × 3/2 = 9.