1.7 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 is constant.

Front

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

Back

If a graph goes through the origin, it means that when the value of one variable is zero, the value of the other variable is also zero, indicating a proportional relationship.

Front

How can you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship can be identified if the graph does not pass through the origin.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

What is the unit rate if 100 miles are traveled in 2 hours?

Back

The unit rate is 50 miles per hour.

Front

What characterizes a proportional graph?

Back

A proportional graph is characterized by a straight line that passes through the origin.

Front

What does a curvy line on a graph indicate?

Back

A curvy line on a graph indicates a non-linear relationship, which is not proportional.

Front

If a graph is linear but does not go through the origin, is it proportional?

Back

No, if a graph is linear but does not go through the origin, it is not a proportional relationship.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and represents the unit rate.

Front

Can a graph be both linear and non-proportional?

Back

Yes, a graph can be linear and non-proportional if it is a straight line that does not pass through the origin.