JAMB - Mathematics (2002 - No. 23)
If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)
4
27
√3
√17
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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