SOLUTION: I need help with this question if x varies inversely as y2, and x=2 when y=24. I need to find x when y=6.

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Question 129793: I need help with this question
if x varies inversely as y2, and x=2 when y=24. I need to find x when y=6.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If x varies inversely as y%5E2, then you can write as:
x+=+k%2Fy%5E2 where k is the constant of variation.
To find the value of k, you substitute the given numbers for x (x = 2) and y (y = 24) and solve for k.
2+=+k%2F24 Multiply both sides by 24.
48+=+k
So now the equation can be written:
x+=+48%2Fy%5E2
To find x when y = 6, just substitute y = 6 and solve for x.
x+=+48%2F%286%29%5E2
x+=+48%2F36 Simplify this.
x+=+4%2F3