Final Answer:
The equation representing a proportional relationship is (B) y = 3.52.
Step-by-step explanation:
In a proportional relationship, the variables are directly proportional to each other, meaning that one variable is a constant multiple of the other. The equation y = 3.52 exemplifies a proportional relationship, where the constant multiplier is 3.52. This implies that for every unit increase in x, y increases by 3.52 units. Unlike the other options, this equation is in the form y = kx, indicative of a proportional relationship.
Explanation for each option:
Option (A) y = 4x + 7 represents a linear relationship but not a proportional one as there's an additional constant term (7).
Option (B) y = 3.52 is the correct choice for a proportional relationship as it directly relates y to a constant value.
Option (C) y = 7.52 - 2 is a linear equation with a constant term (7.52) and a linear term (-2), making it non-proportional.
Option (D) y = -52 - 8 is also a linear equation with a constant term (-52) and a linear term (-8), indicating a non-proportional relationship.
In summary, option (B) represents a proportional relationship, adhering to the criteria of a constant multiplier linking the variables.