WAEC Mathematics 2006 Question 18

Question 18

Variation

The table below satisfies the relation y = k√x, where k is a positive constant.
x: 1, 4, P
y: 0.5, 1, 2.5
Find the value of k.

  1. A.0.5
  2. B.1
  3. C.1.5
  4. D.2
Show the answer and explanation

Answer: A (0.5)

Explanation

When x = 1, y = 0.5, so 0.5 = k × √1 and k = 0.5 (x = 4, y = 1 agrees: 0.5 × 2 = 1).