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

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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)   (Show Source): You can put this solution on YOUR website!
y varies directly with x
can be translated as

now we have a coordinate (x1,y1) and can substitute this in to ket k. We get

Now, k can be expressed as

this was given to us as 13.
We have a new equation whit our k value as

it turns out that the ratio of y2 to x2 will be

which is

so any (x,y) coordinate will have a common ratio of 13.

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