Determine whether y varies directly with x. If so, find the constant of variation k.
3y = –7x – 18
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OpenStudy (anonymous):
OpenStudy (anonymous):
@agent0smith
OpenStudy (agent0smith):
For the constant of variation, we need it to look like y = kx.
Let's divide both sides of 3y = –7x – 18 by 3, to get
\[y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 }\]
Try comparing
\[y= kx \]to\[y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 }\]
OpenStudy (anonymous):
so is the answer B?
OpenStudy (anonymous):
@agent0smith
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OpenStudy (agent0smith):
But notice that we have\[ y = -\frac{7 }{ 3 }x –\frac{ 18 }{3 } \]
Does it look like y=kx? or y=kx minus 18/3?
OpenStudy (anonymous):
no they don't so its D
OpenStudy (agent0smith):
For constant of variation, you only want y = kx, not y = kx plus or minus some number.
OpenStudy (anonymous):
so there is no constant of variation its no
OpenStudy (agent0smith):
Correct :)
*If* it was just \[y = -\frac{7 }{ 3 }x\] then it would be in the form y = kx.
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