Variations and radicals

Question

if y varies inversely as the square of x, and y = 11/4 when x = 4, find y when x = 2.

Answer 1

y= k/x^2

11/4 = k/4^2 = k/16

k = 16(11/4) = 44

y = 44/x^2

y = 44/2^2 = 44/4 = 11

y = 11 when x = 2