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Is #8y=x# a direct variation equation and if so what is the constant?

Answer 1

Nathan Axel

#k=1/8#

#"a direct variation equation is of the form"#

#•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"#

#8y=xlarrcolor(blue)"divide both sides by 8"#

#rArry=1/8xlarrcolor(blue)"in standard form"#

#"with constant "k=1/8#

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Answer 2

Jameson Allen

Yes, the equation 8y = x represents a direct variation. The constant of variation, often denoted as k, is the coefficient of y when the equation is in the form y = kx. In this case, since 8y = x, the constant of variation is 1/8.

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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.