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If x varies directly as √n and x = 9 when n = 9, find...

Mathematics
JAMB 2002

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

  • A. 4
  • B. 27
  • C. √3
  • D. √17
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Correct Answer: Option D
Explanation

\(x \propto \sqrt{n}\)

\(x = k \sqrt{n}\)

\(9 = k \sqrt{9} \implies 9 = 3k\)

\(k = 3\)

\(x = 3 \sqrt{n}\)

When n = 17/9,

\(x = 3 \times \sqrt{\frac{17}{9}} = \sqrt{17}\)


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