ECZ 2021 · GCE Paper 1 — Variation

Given that z varies as x and inversely as the square of y, with constant of variation k = 6, find the values of y when x = 30 and z = 5.

  • A. y = ±6
  • B. y = 6 only
  • C. y = ±36
  • D. y = ±√5

Verified working — step 1

z = 6xy² gives 5 = 6 × 30 ÷ y² = 180y². So y² = 180 ÷ 5 = 36 and y = …

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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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