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JAMB Mathematics 1980 Question 48

Question 48

Variation

If x varies inversely as y, and y varies directly as the square root of z, and z varies directly as 1/w2, write down in words how x varies with w.

  1. A.x varies inversely as w2
  2. B.x varies directly as w2
  3. C.x varies directly as w
  4. D.x varies inversely as w
  5. E.x varies directly as square root of w.
Show the answer and explanation

Answer: C (x varies directly as w)

Explanation

√z ∝ 1/w, so y ∝ 1/w. Since x ∝ 1/y, x ∝ w.