5.5 Graphing Proportional Relationships

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 do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values (y/x) are the same for all pairs.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) in a proportional relationship, represented as y = kx.

Front

How can 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 a proportional graph look like?

Back

A proportional graph 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 changes.

Front

How can you tell if a graph is not proportional?

Back

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

Front

What does the slope of a proportional graph represent?

Back

The slope of a proportional graph represents the constant of proportionality.

Front

If y = 40x, what is the constant of proportionality?

Back

The constant of proportionality is 40.

Front

What is an example of a real-world proportional relationship?

Back

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