Tables, Graphs, & Equations of 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 is the formula for a proportional relationship?

Back

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

Front

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

Back

If a graph passes through the origin, it indicates that the relationship is proportional.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality, representing how much one quantity changes in relation to one unit of another quantity.

Front

Does the graph of a proportional relationship always form a straight line?

Back

Yes, the graph of a proportional relationship always forms a straight line that passes through the origin.

Front

What does the point (2, 94) represent in a proportional relationship context?

Back

It represents that after 2 units of the independent variable, the dependent variable is 94.

Front

If a table shows the values (1, 5), (2, 10), (3, 15), is it proportional?

Back

Yes, because the ratios (y/x) are constant (5 in this case).

Front

What is the significance of the constant of proportionality (k)?

Back

The constant of proportionality (k) indicates the rate at which one quantity changes in relation to another.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.