Proportional Equations and Tables

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 if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

How do you find a missing value in a proportional table?

Back

To find a missing value in a proportional table, use the constant of proportionality to set up a proportion.

Front

If A is 3 and B is 12 in a proportional relationship, what is the constant of proportionality?

Back

The constant of proportionality is 4 (since 12/3 = 4).

Front

What is the relationship between the coordinates (x, y) in a proportional relationship?

Back

In a proportional relationship, y = kx, meaning y increases or decreases at a constant rate as x changes.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented as a straight line that passes through the origin (0,0).