Proportional Relationships in Tables, Graphs, and Equations

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 for a table to be proportional?

Back

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

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

If a table shows values (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, because the ratios (2:4, 4:8, 6:12) are all equal to 1:2.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of the corresponding values are not constant or if it does not pass through the origin.

Front

How do you find the unit rate from a table?

Back

To find the unit rate, divide the value of one quantity by the value of the other quantity for a pair of values.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If a graph does not pass through the origin, what can you conclude?

Back

You can conclude that the relationship is not proportional.