# Dependent and Independent Variables

**and the output value (usually y) is called the**

*independent variable***.**

*dependent variable*Example 1: Identify the independent and the dependent variable.

You have $1,000 saved and plan to save $50 each week.

**is the number of weeks that you save and**

*x***s the total in saving. In algebraic terms, we would say that the total amount saved (y) is a function of the number of weeks (x). An equation to represent the situation would be:**

*y i*The total amount saved (y) is dependent upon the number of weeks that you save. Therefore y is the dependent variable and x is the independent variable.

Example 2: Identify the independent and the dependent variable.

You earn a base pay of $50 and you earn $7.25 per hour. Write a function where your total earnings

**) is a function of the number of hours (**

*f(x***that you work each week.**

*x)*F(x) = 7.25x + 50 *

*remember that f(x) is the same as y*

The total earned, f(x) is dependent upon the number of hours that you work (x) therefore, f(x) is the dependent variable and x is the independent variable.

**The independent variable is the input value (x) that is going to be multiplied by the slope (constant rate of change). The dependent variable, y or f(x), is the result obtained after entering the input value.**

*Conclusion:*
Related Links:Math algebra Measures of Variability : Mean Absolute Deviation Measures of Variability : Interquartile Range |

To link to this **Dependent and Independent Variables** page, copy the following code to your site: