Proportional Relationships in tables, graphs, 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 the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

Front

How can you determine if a table represents a proportional relationship?

Back

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

Front

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

Back

If a graph passes through the origin, it indicates that the relationship is proportional.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much one quantity changes for each unit of another quantity.

Front

If the point (3, 12) is on a graph, what does it represent?

Back

It represents that for every 3 units of the first quantity, there are 12 units of the second quantity.

Front

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

Back

The slope of the line in a proportional relationship graph is equal to the constant of proportionality.

Front

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

Back

You can find the constant of proportionality by determining the slope of the line, which is the change in y divided by the change in x.

Front

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

Back

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

Front

What is an example of a proportional relationship?

Back

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