In relation to functions, what does it mean for a variable to be "dependent"?

A dependent variable is defined by its reliance on another variable, typically referred to as the independent variable. This means that the values of the dependent variable are influenced and determined by the changes in the independent variable. In the context of functions, the dependent variable typically depends on the independent variable, which is represented on the x-axis. For example, in the function (y = f(x)), the value of (y) (the dependent variable) changes based on the input (x) (the independent variable).

Choosing the correct answer highlights the fundamental concept in mathematics where the behavior and output of one variable are directly tied to the value of another, establishing a clear functional relationship. This relationship is critical in various fields, including science, economics, and engineering, where it's essential to understand how changes in one aspect can lead to changes in another.