Is #y=3.2x# a direct variation equation and if so, what is the constant of variation?

Answer 1

#y=3.2x# is a direct variation equation with a constant of variation #= 3.2#

Any linear equation of the form: #color(white)("XXX")y=c*x# or #color(white)("XXX")y/x=c# for some constant #c# is a direct variation equation (with direct variation constant of #c#).

Another way to look at it: Any linear equation which passes through the origin, i.e. through #(0,0)#, and is neither a horizontal nor a vertical line is a direct variation equation with a direct variation constant equal to the slope of the the line.

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Answer 2

Eli Assouline

Yes, the equation (y = 3.2x) represents a direct variation because it is in the form (y = kx), where (k) is the constant of variation. In this case, the constant of variation is (k = 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.