SOLUTION: y varies directly with,x ad x1 and x2 are two values of x which correspond to the y-values y1 and y2 if the ratio of y1 to x1 is 13 ,find the ratio of y2 to the corresponding value

Algebra ->  Linear-equations -> SOLUTION: y varies directly with,x ad x1 and x2 are two values of x which correspond to the y-values y1 and y2 if the ratio of y1 to x1 is 13 ,find the ratio of y2 to the corresponding value      Log On


   

Question 262526: y varies directly with,x ad x1 and x2 are two values of x which correspond to the y-values y1 and y2 if the ratio of y1 to x1 is 13 ,find the ratio of y2 to the corresponding value x2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
y varies directly with x
can be translated as
y+=+kx
now we have a coordinate (x1,y1) and can substitute this in to ket k. We get
y1+=+x1%2Ak
Now, k can be expressed as
k+=+y1%2Fx1
this was given to us as 13.
We have a new equation whit our k value as
y+=+13x
it turns out that the ratio of y2 to x2 will be
y2+=+13x2
which is
y2%2Fx2+=+13
so any (x,y) coordinate will have a common ratio of 13.