SOLUTION: Math tutors I don't know how to do this..thank you Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, a

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Math tutors I don't know how to do this..thank you Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, a      Log On


   



Question 141587: Math tutors I don't know how to do this..thank you
Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, and w=5.

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, and w=5.
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y kxz/w^2
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Find "k":
20 = k*-0.5*4/5^2
20 = -2k/25
400 = -2k
k = -200
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EQUATION:
y = -200xz/w^2
===================
Cheers,
Stan H.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Math tutors I don't know how to do this..thank you
Find an equation of variation where y varies jointly as x and z and inversely as the square of w and y=20 when x=-0.5, z=4, and w=5.


Start with this formula for the equation of variation:



The letter that varies is y.
The "jointlys" are x and z
The only "inversely" is w%5E2

So plug in:

y=k%28%28xz%29%2Fw%5E2%29

Plug in the given values y=20 when x=-0.5, z=4, and w=5.

20=k%28%28-0.5%284%29%29%2F%285%29%5E2%29%29

20=k%28%28-2%29%2F25%29%29

Multiply both sides by 25

500=k%28-2%29

500=-2k

-250=k

Now substitute -250 for k in

y=k%28%28xz%29%2Fw%5E2%29

y=-250%28%28xz%29%2Fw%5E2%29

Edwin