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## Definition:

**An equation** is a mathematical way of representing the relationship between concepts or items. These concepts or items are represented by what are called variables. Variables can be dependent or independent.

## Summary:

**VARIABLES **

- A variable is a quantity that may vary.
- It is widely used within the context of a mathematical problem or scientific experiment.
- Normally, we use a single letter to represent a variable.
- The letters x, y, and z are common generic symbols used for variables.

**INDEPENDENT VARIABLES**

- These are not affected by another variable.
- Independent variables represent the “input” values of a function These are commonly denoted as
*x*. - They are sometimes called the “argument” of the function.

**DEPENDENT VARIABLES**

- These are influenced by another variable.
- Dependent variables represent the “output” value of a function, and are commonly denoted as
*y*. - They are sometimes called the “value” of the function.

## Example:

Mrs. Potter is a renowned botanist. She found out that an additional gram of fertilizer results to a 1.25 cm growth of her plant experiment. Look at the plant’s record.

Amount of fertilizer in gram | 1 | 2 | 3 | 4 |

Plants growth in cm | 1.25 | 2.50 | 3.75 | 5.00 |

**Independent variable:** amount of fertilizer**Dependent variable:** plant’s growth

## Understanding Dependent and Independent Variables Worksheets

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