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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

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

Front

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

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity.

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

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio is constant, while in non-proportional relationships, the ratio varies.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

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

Back

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