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JAMB Mathematics 1983 Question 23

Question 23

Variation

If w varies inversely as V and u varies directly as w3, find the relationship between u and V given that u = 1 when V = 2.

  1. A.u = 8V3
  2. B.u = 2∛V
  3. C.V = 8/u3
  4. D.V = 8u3
  5. E.u = 8/V3
Show the answer and explanation

Answer: E (u = 8/V3)

Explanation

w ∝ 1/V and u ∝ w³, so u = k/V³. u = 1 at V = 2 gives k = 8, so u = 8/V³.