Final answer:
The equation y = ż represents a proportional relationship because it can be expressed in the form y = kx, where k is implicitly 1, and its graph would be a straight line passing through the origin, satisfying the criteria for a proportional relationship.
Step-by-step explanation:
The question asks whether the equation y = ż represents a proportional relationship. A proportional relationship is defined as a relationship between two quantities where they maintain a constant ratio or rate. In mathematical terms, a proportional relationship can be represented by an equation of the form y = kx, where k is the proportionality constant. Furthermore, the graph of a proportional relationship must be a straight line that passes through the origin (0,0).
To determine if the equation y = ż represents a proportional relationship, we must consider if it can be rewritten in the form y = kx and if its graph passes through the origin. Since the symbol ż can be considered a variable, we assume it represents x in the proportional form. The presence of only ż and its coefficient being 1 (implicit) means that the equation can be expressed as y = 1x.
The correct answer to whether the equation represents a proportional relationship is yes, because its graph is a straight line that passes through the origin, matching option (d).