3×=18 what the answer to this problem
2 answers:
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Answer:
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: