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})
Correct Answer: Option C
Explanation
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})