SOLUTION: suppose that z varies directly with x and inversely with y, and x=5, y=4, and z=8. Write a function that models the joint variation. Then find z when x=32 and y=2

Algebra ->  Rational-functions -> SOLUTION: suppose that z varies directly with x and inversely with y, and x=5, y=4, and z=8. Write a function that models the joint variation. Then find z when x=32 and y=2      Log On

Hi

z varies directly with x and inversely with y

  z = kx/y 

 x=5, y=4, and z=8

  8 = 5k/4

 (4/5)*8 = k

   32/5 = k

 z = (32/5)x/y

find z when x=32 and y=2

 z = (32/5)(32/2

 z = 102.4