JAMB Mathematics 2013 Question 15

Question 15

Variation

If r varies inversely as the square root of s and t, how does s vary with r and t?

  1. A.s varies directly as r2 and t2.
  2. B.s varies directly as r and t.
  3. C.s varies inversely as r and t2.
  4. D.s varies inversely as r2 and t.
Show the answer and explanation

Answer: D (s varies inversely as r2 and t.)

Explanation

r = k/√(st), so r2 = k2/(st) and s = k2/(r2t): s varies inversely as r2 and t.