SOLUTION: Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=3. The variation constant is k= ??? the equation of variation is y=???

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=3. The variation constant is k= ??? the equation of variation is y=???      Log On


   

Question 156872: Find the variation constant and an equation of variation where y varies directly as x and y=12 when x=3. The variation constant is k= ???
the equation of variation is y=???
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The statement " y varies directly as x" translates to y=kx


y=kx Start with the given equation


12=k%283%29 Plug in y=12 and x=3


4=k Divide both sides by 3 to isolate "k"


So the variation constant is k=4 which means that the equation is y=4x