1) for the data in the table, does y vary directly with x? if it does, write an equation for the direct variation.

Yes, "y" varies directly with "x".

The equation is:  

Step-by-step explanation:

 By definition, Direct variation equations have the following form:

Where "k" is the Constant of variation.

If you solve for "k", the equation is:

Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":

- Dividing   by you get:

- Divide by :

- Dividing   by :

Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:

Therefore, the equation  for the Direct variation is:

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step-by-step explanation: