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 passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates 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 'x per 1 unit'.

Front

What is the unit rate in the relationship of 120 miles in 2 hours?

Back

The unit rate is 60 miles per 1 hour.

Front

What does it mean for a table of values to be proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

If a graph is a straight line but does not pass through the origin, what type of relationship is it?

Back

It is a non-proportional relationship.

Front

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

Back

The slope represents the constant rate of change between the two quantities in a proportional relationship.

Front

Can a relationship be proportional if it has a y-intercept other than zero?

Back

No, a relationship cannot be proportional if it has a y-intercept other than zero.

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.