Relationships Between Variables (tables and graphing)

Front

What is a dependent variable?

Back

A dependent variable is a variable that depends on another variable, often represented as 'y' in equations.

Front

What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't affected by other variables, often represented as 'x' in equations.

Front

What does the equation y = x + 5 represent?

Back

This equation shows a linear relationship where for every increase in x, y increases by 1, starting from 5.

Front

What does the equation y = 5x represent?

Back

This equation indicates that for every car washed (x), $5 is earned (y), showing a direct proportional relationship.

Front

How do you identify the independent variable in a study?

Back

The independent variable is the one that is changed or controlled in a study to test its effects on the dependent variable.

Front

What is the purpose of a graph in representing data?

Back

A graph visually represents data, making it easier to identify trends, relationships, and patterns between variables.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change between the independent and dependent variables.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the dependent variable to the independent variable is constant.