Proportional Relationships in Tables, Graphs, and Equations

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

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant and the table passes through the origin.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much of one quantity corresponds to one unit of another quantity.

Front

How can you determine if a graph is proportional?

Back

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

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

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

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of the two quantities in a proportional relationship.

Front

If y = kx, what happens to y if x is doubled?

Back

If x is doubled, y will also double, maintaining the proportional relationship.

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.

Front

How can you tell if a table of values represents a proportional relationship?

Back

You can check if the ratios of the values in the table are constant.