Proportional Relationships: Tables, Equations, and Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How can you identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by checking if the ratios of corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity changes in relation to another in a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the value of x for any pair of corresponding values.

Front

What does it mean if a graph does not go through the origin?

Back

If a graph does not go through the origin, it indicates that the relationship is non-proportional.

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 is the significance of a straight line through the origin in a graph?

Back

A straight line through the origin in a graph indicates a proportional relationship between the two variables.

Front

How can you determine if a relationship is proportional from an equation?

Back

A relationship is proportional if the equation can be written in the form y = kx, where k is a non-zero constant.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.