Question on: JAMB Mathematics - 2010
If x is inversely proportional to y and x = 2(\frac{1}{2}) when y = 2, find x if y = 4
A
4
B
5
C
1\(\frac{1}{4}\)
D
2\(\frac{1}{4}\)
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Correct Option: C
x (\alpha) (\frac{1}{y}) .........(1)
x = k x (\frac{1}{y}) .........(2)
When x = 2(\frac{1}{2})
= (\frac{5}{2}), y = 2
(2) becomes (\frac{5}{2}) = k x (\frac{1}{2})
giving k = 5
from (2), x = (\frac{5}{y})
so when y =4, x = (\frac{5}{y}) = 1(\frac{1}{4})
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