SOLUTION: If y is directly proportional to the square root of x and inversely proportionally to the cube root of w, and y is 10 when x = 80 and w = 30, find y when x = 5 and w = 3.

SOLUTION: If y is directly proportional to the square root of x and inversely proportionally to the cube root of w, and y is 10 when x = 80 and w = 30, find y when x = 5 and w = 3.

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Question 1056730: If y is directly proportional to the square root of x and inversely proportionally to the cube root of w, and y is 10 when x = 80 and w = 30, find y when x = 5 and w = 3.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=kx^(1/2)/w^(1/3)
find k
10=k*80^(1/2)/30^(1/3)
10*30^(1/3)/80^(1/2)=3.474
Use k in the next part
y=3.474*sqrt(5)/cube root (3)
5.386
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