Multiple Representations

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of one or more independent variables.

Front

What is an independent variable?

Back

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

Front

What does it mean to match an equation to a table of values?

Back

It means to find an equation that accurately represents the relationship between the independent and dependent variables shown in the table.

Front

In the equation y = 5x, what does '5' represent?

Back

The '5' represents the rate of change or slope of the line, indicating that for every 1 unit increase in x, y increases by 5 units.

Front

How do you identify the independent variable in a scenario?

Back

The independent variable is the one that you can control or change, often represented on the x-axis in a graph.

Front

What is the relationship described by 'Jace’s age is 4 years less than Tyson’s'?

Back

This means if Tyson's age is T, then Jace's age can be expressed as J = T - 4.

Front

What are dependent quantities?

Back

Dependent quantities are the outputs of a function, which depend on the values of the independent quantities.

Front

What are independent quantities?

Back

Independent quantities are the inputs of a function, which can be chosen freely without being affected by other variables.

Front

How can you determine which list shows dependent quantities?

Back

Look for a list where the values change in response to changes in another variable, typically showing a consistent pattern.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.