Proportional Relationships - 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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What does the rate of change represent in a proportional relationship?

Back

The rate of change represents how much one quantity changes in relation to another quantity.

Front

If a table shows values (2, 4), (4, 8), (6, 12), what is the rate of change?

Back

The rate of change is 2, as each increase in the first value by 2 results in an increase of 4 in the second value.

Front

What is the constant rate of change in the table: (1, 0.35), (2, 0.70), (3, 1.05)?

Back

The constant rate of change is $0.35 per ounce.

Front

Does the table (1, 2), (2, 4), (3, 6) show a proportional relationship?

Back

Yes, it is proportional.

Front

Does the table (1, 2), (2, 5), (3, 7) show a proportional relationship?

Back

No, it is not proportional.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula: k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

If the table shows (3, 6), (6, 12), what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.