ECZ 2020 · O-Level Paper 1 — Variation

It is given that y varies directly as the cube root of x and inversely as the square of z, and y = 2 when x = 8 and z = 4. Find the equation connecting x, y and z.

  • A. y = ∛x16z2
  • B. y = (16z2) / ∛x
  • C. y = 16∛xz2
  • D. y = 16x3z2

Verified working — step 1

Write the relationship with k in it, find k from the given values, then put that number back in place of 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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