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 value of k, the constant of variation.

  • A. 6
  • B. 24
  • C. 3
  • D. 13

Verified working — step 1

Translate the words first: "directly as the square of x" puts x2 on top; "inversely as z" puts z underneath.

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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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