If y varies directly as sqrt n and y 4 when n 4... - JAMB Mathematics 2012 Question
If y varies directly as (\sqrt{n}) and y = 4 when n = 4, find y when n = 1(\frac{7}{9})
A
\(\sqrt{17}\)
B
\(\frac{4}{3}\)
C
\(\frac{8}{3}\)
D
\(\frac{2}{3}\)
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Correct Option: C
y (\alpha \sqrt{n})
y = k(\sqrt{n})
when y = 4, n = 4
4 = k(\sqrt{4})
4 = 2k
k = 2
Therefore,
y = 2(\sqrt{n})
y = 2(\sqrt{\frac{16}{9}})
y = 2((\frac{4}{3}))
y = (\frac{8}{3})
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