SOLUTION: If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 290 when x is 861 and w is 352, evaluate the constant of proportionality, and write th

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 290 when x is 861 and w is 352, evaluate the constant of proportionality, and write th      Log On


   



Question 1182903: If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 290 when x is 861 and w is 352, evaluate the constant of proportionality, and write the complete equation for y in terms of x and w. Give your answer in the form y=k*(x^a)*(w^b) with no spaces where a, b and k are real numbers. Round the coefficient k to 2 decimal places.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If y is directly proportional to the 3/2 power of x and inversely proportional to w,
y+=+%28kx%5E%283%2F2%29%29%2Fw that's ^(3/2)
y is 290 when x is 861 and w is 352, evaluate the constant of proportionality,
%28k%2A861%5E%283%2F2%29%29%2F352 = 290
Multiply both sides by 352, find 861 to the 3/2 power
25264.152k+=+102080
k+=+102080%2F25264.252
k = 4.04
:
Write the complete equation for y in terms of x and w. Give your answer in the form y=k*(x^a)*(w^b) with no spaces where a, b and k are real numbers. Round the coefficient k to 2 decimal places.
y+=+%284.04%2Ax%5E%283%2F2%29%29%2Fw
which is
y+=+4.04%2Ax%5E%283%2F2%29%2Aw%5E-1