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WAEC Mathematics 1998 Question 49

Question 49

Variation

P varies inversely as Q. The table below shows the value of Q for some selected values of P.
P: 6, 8, 9, 12
Q: 24, 18, ?, 12
What is the missing value of Q in the table?

  1. A.4
  2. B.9
  3. C.15
  4. D.16
  5. E.144.
Show the answer and explanation

Answer: D (16)

Explanation

For inverse variation PQ is constant: 6 × 24 = 144. So Q = 144 ÷ 9 = 16.