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JAMB Mathematics 1988 Question 14

Question 14

Variation

If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3.

  1. A.1/3
  2. B.2/3
  3. C.8/27
  4. D.4/9
Show the answer and explanation

Answer: C (8/27)

Explanation

x = k/∛y. With x = 1, y = 8: k = 2. When x = 3, ∛y = 2/3, so y = (2/3)³ = 8/27.