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Does the table show direct variation? If so, state the constant of variation.

Does the table show direct variation? If so, state the constant of variation.-example-1
User Sjor
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1 Answer

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27 votes

Okay, here we have this:

Considering the provided table, we are going to analize if the table shows direct variation, so we obtain the following:

To identify if there is direct variation then we will calculate the ratios between the points, and if they are all the same then the table does show direct variation, then we have:

y=kx

k=y/x

5/2=2.5

45/18=2.5

80/30=2.66

Since the ratios between the points are not the same, then it does not represent a direct variation.

User Anils
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