Is $y = 3 x$ $y=3x$ a direct variation and if so what is the constant?

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Is $y = 3 x$ $y=3x$ a direct variation and if so what is the constant?

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Answer 1 · 2017-12-03T13:11:17

Yes; the constant of variation is $3$ $color(magenta)3$

Explanation:

Given $y = 3 x$ $y=color(magenta)3x$
If you multiply the value of $x$ $x$ by $k$ $color(blue)k$ (for any value of $x$ $x$ )
then the value of $y$ $y$ is multiplied by a factor of $3 k$ $color(magenta)3color(blue)k$

Answer 2 · 2017-12-03T13:46:13

$k = 3$ $k=3$

Explanation:

$a direct variation equation has the form$ $"a direct variation equation has the form"$

$∙ x y = k x \leftarrow k is the constant of variation$ $•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"$

$y = 3 x is in this form hence direct variation equation$ $y=3x" is in this form hence direct variation equation"$

$\Rightarrow k = 3$ $rArrk=3$

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Is $y = 3 x$ $y=3x$ a direct variation and if so what is the constant?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Is y=3xy=3x a direct variation and if so what is the constant?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Is $y = 3 x$ $y=3x$ a direct variation and if so what is the constant?