If x varies directly as \sqrtn and x = 9 when n = 9, find x when n = (17/9)
A
4
B
27
C
√3
D
√17
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(x \propto \sqrt{n}\)
\(x = k \sqrt{n}\)
\(9 = k \sqrt{9} \implies 9 = 3k\)
\(k = 3\)
\(x = 3 \sqrt{n}\)
When n = 17/9,
\(x = 3 \times \sqrt{\frac{17}{9}} = \sqrt{17}\)
Source: Myschool Past Questions Archive (Record #3372)