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 SQU

Question 62970: 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 uma(370) (Show Source): You can put this solution on YOUR website!
Given that w varies directly as x and inversely as the square of y.
So w can be written as w = K *x/(y^2) where k is the constant of proportionality.
when x = 15, y = 5, w = 36
Plugging in these value,
36 = K
==> 36 = K*(15/25)
Multiplying both the sides by 25/15 we get,
36*(25/15) = K
==> 36*(5/3) = K
==> 60 = K
Thus the constant of proportionality is 60.
The equation becomes,
W = 60x/(y^2)

Good Luck!!!

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