Dependent vs Independent Variables Math Example 2

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

Example 2

medium
A factory's cost is C=500+8nC = 500 + 8n where nn is the number of units produced. Identify the variables.

Solution

  1. 1
    The factory chooses how many units to produce: nn is independent.
  2. 2
    The cost CC is determined by nn: CC is dependent.
  3. 3
    The fixed cost 500 and rate 8 are constants, not variables.

Answer

nn is independent; CC is dependent.
In applied problems, the independent variable is the one you control or choose. The dependent variable responds to changes in the independent variable.

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.

Learn more about Dependent vs Independent Variables →

More Dependent vs Independent Variables Examples

Example 1 easy

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

Example 3 easy

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

Example 4 medium

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

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