Final answer:
In the equation y=5/2x, the dependent variable is y, which depends on the value chosen for the independent variable x. Coefficients like 5/2 are part of the slope and not considered as variables.
Step-by-step explanation:
In the equation y=5/2x, we need to identify the independent and dependent variables. In such an equation, the variable y is typically the dependent variable because its value depends on the chosen value for x, which is considered the independent variable. Constants such as 5/2 represent the slope of the line, and do not constitute as variables. Therefore, the correct answer to the question of what is the dependent variable in the equation y=5/2x is A) y.
Moreover, in linear equations like 7y = 6x + 8, 4y = 8, and y + 7 = 3x, the variable on its own on one side of the equation is the dependent variable, and the one that is usually multiplied by a coefficient and/or added to a constant on the other side is the independent variable. In these examples, y is dependent on x. Furthermore, in situations such as labor charges (y) depending on the hours worked (x), y is again the dependent variable influenced by x.