If x is inversely proportional to y and x = 212 1 2 when y = 2, find x if y = 4

If x is inversely proportional to y and x = 2$\frac{1}{2}$ when y = 2, find x if y = 4

Answer Details

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$\frac{1}{4}$