SOLUTION: y varies jointly as x and z and inversely as w, and y = 3/2 when x = 2, z = 2, and w = 4. Find the equation of variation for the given situation.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: y varies jointly as x and z and inversely as w, and y = 3/2 when x = 2, z = 2, and w = 4. Find the equation of variation for the given situation.      Log On


   

Question 312848: y varies jointly as x and z and inversely as w, and y = 3/2 when x = 2, z = 2, and w = 4. Find the equation of variation for the given situation.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


"jointly" as x and z -- x and z go in the numerator

"inversely" as w -- w goes in the denominator

Throw in a constant of proportionality, generally a k will do, and you have it:



Plug in what you know for the initial conditions:



Which is to say:



and finally:



John