Dependent vs Independent Variables Math Example 4

Follow the full solution, then compare it with the other examples linked below.

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On a graph, which axis typically shows the independent variable?

1
By convention, the horizontal axis ( $x$ -axis) shows the independent variable.
2
The vertical axis ( $y$ -axis) shows the dependent variable.

Answer

The horizontal (

x

) axis.

This convention mirrors the function notation

y = f(x)

: input on the horizontal axis, output on the vertical axis.

About Dependent vs Independent Variables

The independent variable is chosen freely as input; the dependent variable's value is then determined by the function rule.

In [formula], which variable is independent and which is dependent?

A factory's cost is [formula] where [formula] is the number of units produced. Identify the variable

In the equation [formula] (distance = speed × time), which is dependent?