Dependent and Independent Variables

Front

What is a dependent variable?

Back

A dependent variable is a variable that depends on or is changed by another variable in an experiment or equation.

Front

What is an independent variable?

Back

An independent variable is a variable that is changed or controlled in an experiment to test its effects on the dependent variable.

Front

In the equation y = x + 5, which variable is dependent?

Back

y is the dependent variable because its value depends on the value of x.

Front

In the equation y = 5x, which variable is independent?

Back

x is the independent variable because it can be changed freely.

Front

What does the term 'function' mean in mathematics?

Back

A function is a relationship or expression involving one or more variables, where each input (independent variable) has exactly one output (dependent variable).

Front

When graphing, what does an open dot represent?

Back

An open dot represents that the value is not included in the solution set, used with < or > symbols.

Front

What does the term 'output' refer to in a function?

Back

The output refers to the dependent variable, which is the result of applying the function to the input.

Front

If the number of tokens purchased increases, what happens to the total cost?

Back

The total cost (dependent variable) increases as the number of tokens (independent variable) increases.

Front

What is the relationship between independent and dependent variables?

Back

The independent variable is manipulated to observe its effect on the dependent variable.

Front

In the equation y = x - 5, what happens to y if x increases by 1?

Back

If x increases by 1, y will also increase by 1, since y depends on x.