Proportional Tables and Graphs Flashcard

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. If one quantity doubles, the other also doubles.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

How can you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship can be identified if the graph does not pass through the origin or if the line is not straight.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What does a straight line on a graph indicate?

Back

A straight line on a graph indicates a constant rate of change, which can be either proportional or non-proportional depending on its position.

Front

How do you determine if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values are constant.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant ratio between the two variables.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What does it mean if a graph is labeled as 'non-proportional'?

Back

A graph labeled as 'non-proportional' indicates that the relationship between the variables does not maintain a constant ratio.

Front

How can you write an equation from a proportional table?

Back

To write an equation from a proportional table, identify the constant ratio and express it in the form y = kx.