In mathematics, an independent variable is a quantity that can be freely chosen and varied in a mathematical equation or function.
It is the input or domain value that does not depend on other variables in the context tof the equation. The relationship between the independent variable and the dependent variable, which is the output or range value, is often expressed through mathematical expressions or equations.
Analyzing these relationships helps mathematicians and scientists model real-world phenomena, understand patterns, and make predictions based on the changes in the independent variable.