Question

Provide answer. If y varies inversely as x^2, and x = 4 while y = 1/4, find x when y = 1.

Answer 1

The X would equal 16

Answer 2

y = k/x^2, where k is the constant of variation we need to determine  

1/4 = k/10^2  

1/4 = k/100  

25 = k

so  

y = 25/x^2    

when y = 1  

1 = 25/x^2  

x^2 = 25  

x = 5