SOLUTION: If y varies inversely as {{{x^2}}}, and {{{y = 2 when x = 4}}}, what is the constant of variation? I have sought help from others and they went through a lot of work to unfortuna

Algebra ->  Functions -> SOLUTION: If y varies inversely as {{{x^2}}}, and {{{y = 2 when x = 4}}}, what is the constant of variation? I have sought help from others and they went through a lot of work to unfortuna      Log On


   

Question 124270: If y varies inversely as x%5E2, and y+=+2++when++x+=+4, what is the constant of variation? I have sought help from others and they went through a lot of work to unfortunately not find an answer, unfortunately I don't have the paper she worked on but the formulas left me with a migraine. Any help would be appreciated. with this problem done I can finally graduate.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
inversely means as one gets larger, the other gets smaller
__ this happens when their product is equal to some constant

y(x^2)=k __ 2(4^2)=k __ 32=k

so, y(x^2)=32