Given:
The table of values.
To find:
The equation that best represents the relationship.
Solution:
From the given table it is clear that the value of x increasing by 2 and the value of y increasing by 3. Since y is increasing at a constant rate with respect to x, therefore the given table represents a linear relationship.
Consider any two points from the given table. Let the two points are (2,2) and (4,5). So, the equation of the line is




On further simplification, we get



Therefore, the correct option is A.