ECZ 2013 · O-Level Paper 1 — Variation

y varies directly as x and inversely as 2m - 1, with constant k = 5 (so y = 5x2m - 1). Find the value of m when y = 2 and x = 4.

  • A. 10
  • B. 11
  • C. 5.5
  • D. 5

Verified working — step 1

m hides in the denominator - multiply up to free it, then undo the -1 and the doubling.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

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

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