Final answer:
The situation represented by the equation y=1.93x², where y is the pressure and x is the depth, is a non-proportional relationship as pressure increases with the square of the depth. The correct answer is B. non-proportional.
Step-by-step explanation:
The question asks to classify the type of relationship represented by the equation y=1.93x². This equation suggests that the pressure increases with the square of the depth in the ocean, meaning that it is not directly proportionate (i.e., not linearly proportional). Rather, the pressure increases at a rate that accelerates with depth since it is proportionate to the square of the depth.
In proportional relationships, a change in one variable causes a direct and constant change in another variable, which is described by a linear equation of the form y = kx, where k is a constant. In non-proportional relationships, a change in one variable affects another variable in a way that is not constant, often involving powers other than one, as is the case here with the square of x.
Based on the given information, the correct answer to what type of situation the equation represents is B. non-proportional.