Proportional Relationships (Graphs & 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 from a table?

Back

If the ratios of corresponding values (y/x) are the same for all pairs, the relationship is proportional.

Front

What is the equation of a proportional relationship?

Back

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity changes in relation to another in a proportional relationship.

Front

How do you determine the constant of proportionality from a table?

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

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

Back

The slope of the line in a proportional relationship represents the constant of proportionality (k).

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it does not pass through the origin or if it is not a straight line.

Front

What is the equation for a proportional relationship with a constant of proportionality of 4?

Back

Front

If a table shows values (2, 8), (4, 16), (6, 24), is this relationship proportional?

Back

Yes, the relationship is proportional because the ratio of y to x is constant (4).