SOLUTION: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant variation?

Algebra ->  Radicals -> SOLUTION: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant variation?      Log On


   

Question 7245: If y varies inversely as x^2, and y = 2 when x = 4, what is the constant variation?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
y+=+%28k%2Fx%5E2%29 Now substitute the given values of x and y, then solve for k.
2+=+%28k%2F4%5E2%29
2+=+%28k%2F16%29 Multiply both sides by 16.
32+=+k This is the value of the constant of variation.