SOLUTION: Write a function that models each variation. 1. x = -1 when y = 5. y varies inversely as x. 2. x = 3 and y = 12 when z = 2. z varies directly with y and inversely with x.

Algebra ->  Rational-functions -> SOLUTION: Write a function that models each variation. 1. x = -1 when y = 5. y varies inversely as x. 2. x = 3 and y = 12 when z = 2. z varies directly with y and inversely with x.      Log On


   

Question 194854: Write a function that models each variation.
1. x = -1 when y = 5. y varies inversely as x.
2. x = 3 and y = 12 when z = 2. z varies directly with y and inversely with x.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
1. y%2Fx=k where k is the constant of variation
:
5%2F-1=-5--->k=-5 --->y=-5x
:
2)zx%2Fy=kwhere k is the constant of variation
:
2%283%29%2F12=6%2F12=1%2F2 k=1/2--->zx=(1/2)y--->y=2zx