Proportional Relationships in Tables

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

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are constant.

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How do you determine if a table is proportional using unit rates?

Back

If the unit rate is constant for all pairs of values in the table, then the table is proportional.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is included in the graph, indicating a proportional relationship.

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.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of items purchased and the total cost when there is a fixed fee.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, it is not proportional because the ratios are not constant.