Unit 3 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 table is proportional?

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin.

Front

What is the unit rate for 72 ounces for 12 servings?

Back

6 ounces per serving.

Front

What does it mean if the unit rate is not constant?

Back

If the unit rate is not constant, it means that the relationship between the two quantities is not proportional.

Front

What is the significance of passing through the origin in proportional relationships?

Back

Passing through the origin indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

If a table shows values of 2, 4, 6 and 3, 6, 9, is it proportional?

Back

No, because the ratios (2/3 and 4/6) are not constant.

Front

What is the unit rate for 100 miles in 2 hours?

Back

50 miles per hour.

Front

How can you tell if a graph does not represent a proportional relationship?

Back

If the graph is not a straight line or does not pass through the origin, it does not represent a proportional relationship.