Analyzing the table, the relationship between x and y is best represented by the equation y = 2x + 4. This linear equation consistently matches the given values, confirming its accuracy. (option B)
Examining the given table with x and y values, we can discern a consistent pattern. As x increases by 2, y increments by 12. Starting from the initial point (0, 4), this relationship aligns with the linear equation y = 2x + 4. To validate, substitute the provided x values into the equation.
For instance, when x = 2, y = 2(2) + 4 = 8 + 4 = 12, matching the observed value. This equation maintains consistency across all given data points, making it the accurate representation of the relationship between x and y in the table.
So option B is correct.