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UI Post-UTME Mathematics 2025 (Model questions) Question 17

Question 17

Variation

If y varies directly as the square of x and inversely as (x + 1) and x = 2 when y = 8/3, find y when x = 5

  1. A.20/3
  2. B.25/3
  3. C.100/9
  4. D.50/9
Show the answer and explanation

Answer: B (25/3)

Explanation

y = kx²/(x + 1). 8/3 = 4k/3 gives k = 2. When x = 5, y = 2 × 25/6 = 25/3.