How do you find the variation constant and an equation of variation where y varies directly as x and y=12 when x=2?

Question

Eva Abramson · Accepted Answer

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Genesis Allen · Answer

undefined To find the variation constant $ k $ and the equation of variation for direct variation where $ y $ varies directly as $ x $, when $ y = 12 $ and $ x = 2 $, you can use the formula $ y = kx $.

Given that $ y = 12 $ when $ x = 2 $, substitute these values into the equation to find the variation constant $ k $:

$ 12 = k \times 2 $

$ k = \frac{12}{2} $

$ k = 6 $

So, the variation constant is $ k = 6 $, and the equation of variation is $ y = 6x $.