ECZ 2021 · GCE Paper 1 — Variation

Given that z varies as x and inversely as the square of y, and that z = 3 when x = 8 and y = 4, find the value of k, the constant of variation.

  • A. 1.5
  • B. 24
  • C. 6
  • D. 23

Verified working — step 1

The relation is z = kxy². Substituting: 3 = k × 8 ÷ 16 = k2, so k = …

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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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