SOLUTION: If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 287 when x is 853 and w is 361, evaluate the constant of proportionality, and write th

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Question 1069224: If y is directly proportional to the 3/2 power of x and inversely proportional to w, and y is 287 when x is 853 and w is 361, evaluate the constant of proportionality, and write the complete equation for y in terms of x and w.
Give your answer in the form k*(x^a)*(w^b) where a, b and k are real numbers. Round the coefficient k to 2 decimal places.
y =
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=kx%5E%283%2F2%29%2Fw

y=kx%5E%283%2F2%29%2Aw%5E%28-1%29

Solve for k in terms of the other variables.

k=y%2Ax%5E%28-3%2F2%29%2Aw

k=yw%2Fx%5E%283%2F2%29



Find the value for k using the given variable assignments.
k=287%2A361%2F853%5E%283%2F2%29
k=287%2A361%2F24912.86

k=4.159

Rounding k to two three significant figures (two "decimal" places),
highlight%28k=4.16%29

Answer by MathTherapy(10552) 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, and y is 287 when x is 853 and w is 361, evaluate the constant of proportionality, and write the complete equation for y in terms of x and w.
Give your answer in the form k*(x^a)*(w^b) where a, b and k are real numbers. Round the coefficient k to 2 decimal places.
y =
Correct answer: matrix%282%2C1%2C+%22+%22%2C+y+=+4.16x%5E%283%2F2%29%2Fw%29