Final answer:
The equation 3y + 2x - 7 = 17 (option A)represents y as a function of x because it can be rearranged into the linear form y = mx + b, satisfying the definition of a function for y in terms of x.
Step-by-step explanation:
The question asks which of the given equations represents y as a function of x. An equation can be considered a function of x if, for any x in the domain, there is exactly one y-value associated with it.
Looking at choice (A), 3y + 2x - 7 = 17, we can rearrange it to solve for y, giving us y = (17 + 7 - 2x) / 3. This is a linear equation in the form of y = mx + b, showing y as a function of x.
Choice (B), x²y + x = 4y, cannot be rewritten to express y solely in terms of x without dividing by a term that includes x (y = x / (x² - 4)), which does not consistently define y as a single value for each x, especially considering the x² term and the fact that the function is not defined for x = 2 or x = -2 (the denominators become zero).
Therefore, the correct answer is (A), 3y + 2x - 7 = 17 because it can be rewritten to represent y as a function of x.