SOLUTION: Suppose y varies directly with x, and y=36 when x=20. Find an equation of variation for x and y. I need assistance with this problem thanks in advance.

Algebra ->  Rational-functions -> SOLUTION: Suppose y varies directly with x, and y=36 when x=20. Find an equation of variation for x and y. I need assistance with this problem thanks in advance.      Log On


   



Question 635829: Suppose y varies directly with x, and y=36 when x=20. Find an equation of variation for x and y.

I need assistance with this problem thanks in advance.

Answer by KMST(5397) About Me  (Show Source):
You can put this solution on YOUR website!
In a direct variation, y equals x multiplied times a factor k:
y=kx
That way, as x doubles, y doubles; as x triples (or trebles, if you like that word better), y triples (or trebles), and so on.
The ratio is the constant y%2Fx=k <---> y=kx .

It's all a question of finding your constant.
In this case,
y=kx and for x=20 , y=36 , so
36=k%2A20 --> k=36%2F20 --> highlight%28k=1.8%29
So highlight%28y=1.8x%29 .
If your teacher would rather have fractions than decimals,
k=36%2F20=9%2F5 and y=%289%2F5%29x or y=9x%2F5