Identifying Proportional Relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, indicating how one quantity changes in relation to another.

Front

What does a constant of proportionality of k = 3 mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 3 units.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant.

Front

What is the constant of proportionality in the relationship represented by the table: (1, 45), (2, 90), (3, 135)?

Back

The constant of proportionality is 45.

Front

If Newtown middle school spends 11 dollars on every yearbook, what is the constant of proportionality?

Back

The constant of proportionality is 11.

Front

What does it mean if a table shows a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

Is the relationship between x and y in the table (2, 6), (4, 12), (6, 18) proportional?

Back

Yes, the relationship is proportional with a constant of proportionality of 3.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a relationship is not proportional, what can be said about the ratios of the quantities?

Back

The ratios of the quantities will not be constant.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.