SOLUTION: Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the s

Algebra ->  College  -> Linear Algebra -> SOLUTION: Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the s      Log On


   

Question 7538: Express the following statement as a formula with the value of the
constant of proportionality determined with the given conditions: w
varies directly as x and inversely as the square of y. If x = 15 and
y = 5, then w = 36.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You start with: w+=+k%28x%2Fy%5E2%29
To determine the value of k,the constant of proportionaliy, substitute the given values of w, x, and y, and solve for k.
36+=+k%2815%2F5%5E2%29
36+=+k%2815%2F25%29
36+=+k%283%2F5%29 Multiply both sides by (5/3)
36%285%2F3%29+=+k
k+=+60
The answer is: w+=+60%28x%2Fy%5E2%29