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If x varies directly as y3 and x = 2 when y = 1, find...

Mathematics
JAMB 1986

If x varies directly as y3 and x = 2 when y = 1, find x when y = 5
  • A. 2
  • B. 10
  • C. 125
  • D. 250
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Correct Answer: Option D
Explanation
x \(\alpha\) y3

x = ky3

k = \(\frac {x}{y^3}\)

when x = 2, y = 1

k = 2

Thus x = 2y3 - equation of variation

= 2(5)3

= 250

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