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 is 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\(\frac{1}{4}\)