SOLUTION: Suppose that y varies directly with x and inversely with z, and y = 25 when x = 35 and z = 7. Write the equation that models the relationship. Then find y when x = 12 and z = 4.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Suppose that y varies directly with x and inversely with z, and y = 25 when x = 35 and z = 7. Write the equation that models the relationship. Then find y when x = 12 and z = 4.       Log On


   



Question 1112997: Suppose that y varies directly with x and inversely with z, and y = 25 when x = 35 and z = 7. Write the equation that models the relationship. Then find y when x = 12 and z = 4.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that y varies directly with x and inversely with z, and y = 25 when x = 35 and z = 7. Write the equation that models the relationship. Then find y when x = 12 and z = 4.
------------
y = k*x/z
-----
Solve for "k"::
25 = k*35/7
25 = k*5
k = 5
-----
Equation:
y = 5*x/z
Find y when x = 12 and z = 4
y = 5*12/4
y = 15
-------
Cheers,
Stan H.
------------