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Is #y=0.5x# a direct variation equation and if so, what is the constant of variation?

Answer 1

Abigail Allen

yes it is a direct variation equation and constant of variation (k ) =0.5

when 2 quantities vary directly this can be expressed as follows

# y prop x #

to make this into an equation we have to introduce k , the constant of variation.

# rArr y = kx #

compare this to y = 0.5 x and so k = 0.5

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Answer 2

Jameson Allen

Yes, the equation ( y = 0.5x ) is a direct variation equation. In direct variation, the relationship between ( x ) and ( y ) is such that one variable is a constant multiple of the other.

In this equation, ( y ) is directly proportional to ( x ), with a constant of variation equal to ( 0.5 ).

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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.