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Question: Which variation does the graph model?



A ) cannot be determined
B ) direct variation
C ) neither direct nor inverse
D ) inverse variation

Steps to derive

1 From the graph, we have the following values for x and y.


 [From table.]
2 x = 2y

 [Divide each side by 2.]
3 y = x2

 [Rearrange the equation.]
4 y = 12x

5 The equation is of the form y = kx, where k = 12

6 The quantities x and y vary directly, if there is a non-zero constant k such that y = kx.

7 The equation x = 2y models direct variation.



Hence the right answer is Option B

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