Is #2y=3x# a direct variation equation and if so, what is the constant of variation?

Answer 1

yes; #k = 3/2#

Direct variation model (a) passes through the origin and (b) x and y increase or decrease at the same rate. Constant of variation is the slope of the linear equation, so rewriting equation as #y= 3/2 x#, #k=3/2#

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Answer 2

Hazel Anglin

Yes, the equation 2y = 3x is a direct variation equation. The constant of variation, represented by k, is the coefficient of x divided by the coefficient of y. In this equation, the coefficient of x is 3 and the coefficient of y is 2. Therefore, the constant of variation is ( \frac{3}{2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.