SOLUTION: If y varies directly with x and y = 36 when x = 6, find the constant of variation k.

SOLUTION: If y varies directly with x and y = 36 when x = 6, find the constant of variation k.

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Question 120554: If y varies directly with x and y = 36 when x = 6, find the constant of variation k.
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
When two variables vary directly, it means they vary by a constant
ratio.
That is,

where k is the constant ratio above.
The ratio, k, is found by solving for it :

Then, given the two values supplied:
,

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