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JAMB Mathematics 1990 Question 13

Question 13

Variation

Y varies inversely as X2 and X varies directly as Z2. Find the relationship between Y and Z, if C is a constant.

  1. A.Z2Y = C
  2. B.Y = CZ2
  3. C.Y = CZ4
  4. D.Z4Y = C
Show the answer and explanation

Answer: D (Z4Y = C)

Explanation

Y = k/X2 and X = mZ2, so Y = k/(m2Z4). Hence Z4Y is a constant: Z4Y = C.