SOLUTION: a) y varies jointly as x and w and inversely as the square of z. Find the equation of variation when y=100, x=2, w=4, and z=20. (b) Then solve for y when x=1, w=5 and z=4. Plea

Algebra ->  Graphs -> SOLUTION: a) y varies jointly as x and w and inversely as the square of z. Find the equation of variation when y=100, x=2, w=4, and z=20. (b) Then solve for y when x=1, w=5 and z=4. Plea      Log On


   



Question 1130836: a) y varies jointly as x and w and inversely as the square of z. Find the equation of variation when y=100, x=2, w=4, and z=20.
(b) Then solve for y when x=1, w=5 and z=4.
Please show me how you get the answer, thanks.
I have the formula y=kxw/z squared, but I don't know if that is jointly or inversely. If it is inversely, then I need help with the jointly, which I think is y=kxwz

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
y=kxw%2Fz%5E2
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k=yz%5E2%2F%28xw%29
k=100%2A20%5E2%2F%282%2A4%29
k=%28100%2A20%2A4%2A5%29%2F%282%2A4%29
k=%28100%2A10%2A2%2A4%2A5%29%2F%282%2A4%29
k=5000
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highlight%28y=5000%2A%28xw%29%2Fz%5E2%29

Now you can substitute the given values of part (b).