Final answer:
The given equations do not directly fit the classical form of a rectangular hyperbola. Additional work is required to reformulate them if they are to represent rectangular hyperbolas.
Step-by-step explanation:
The question asks to find an equation of a rectangular hyperbola of the given forms, which could include terms like y = ax + b/cx + d. However, to determine if any of the provided options are indeed equations of a rectangular hyperbola, we need to identify the hyperbola's defining characteristics. A rectangular hyperbola traditionally has an asymptote that is rotated by 45 degrees relative to the axes, and its equation in its most classic form is xy = c2, where c is a constant. The provided equations resemble the form of a rational function, not a standard hyperbola equation. To answer the question accurately, it would be necessary to compare each option to the standard forms of a hyperbola. However, the given equations in options (a)y= x/3x+1, (b)y= x−1/2x+3, (c) y= x+1/2x−3, and (d) y= x+4/5x−2 do not directly fit a rectangular hyperbola's form. Additional calculations or reformulations would be needed to accurately determine if these equations represent rectangular hyperbolas