For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
https://snag.gy/uKvqPY.jpg
A. yes; y = 1.5x
B. yes; y = 2x
C. yes; y = x + 5
D. y does not vary directly with x
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OpenStudy (mathstudent55):
To find if it is direct variation, divide each y-coordinate by each x-coordinate. If you get the same number every time, it is direct variation.
OpenStudy (mellamokatie):
So I would do 10 divided by 15?
OpenStudy (hocuspucus292333393):
help me
OpenStudy (mathstudent55):
No.
You need to divide y by x, not x by y.
What is 15/10?
What is 24/16?
What is 30/20?
OpenStudy (mellamokatie):
Oh okay let me do those one second.
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OpenStudy (mellamokatie):
1.5, 1.5, 1.5
OpenStudy (mellamokatie):
Wait so then what would it be?
OpenStudy (mathstudent55):
Yes.
OpenStudy (mellamokatie):
A?
OpenStudy (mellamokatie):
@mathstudent55
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OpenStudy (mathstudent55):
Correct.
Direct variation has the form
\(y = kx\)
where k is a number.
In our case, we have
\(y = 1.5x\)