ECZ 2022 · O-Level Paper 1 — Variation

y varies directly as the square of x and inversely as z, and y = 2 when x = 4 and z = 24. Find the values of x when y = 8 and z = 6.

  • A. x = 4 only
  • B. x = 4 or x = -4
  • C. x = 16 or x = -16
  • D. x = 2 or x = -2

Verified working — step 1

Build the formula from the words, find the constant from the first set of values, then solve for x.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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