JAMB Mathematics 1982 Question 29

Question 29

Variation

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is.

  1. A.Py = Q/x2
  2. B.y = PQ/x2
  3. C.y = Px2 + Q/x2
  4. D.y = Q + Px2
  5. E.y = Q + P/x2
Show the answer and explanation

Answer: E (y = Q + P/x2)

Explanation

A constant part Q plus a part that varies inversely as x² (P/x²) gives y = Q + P/x².