Proportional and Nonproportional 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 a nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not constant.

Front

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

Back

You can determine if a table is proportional by checking if the ratio of y to x is the same for all pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

If the equation is y = 2x + 3, is it proportional?

Back

No, because it includes a constant (3) that prevents the ratio from being constant.

Front

What does it mean if a linear relationship passes through the origin?

Back

If a linear relationship passes through the origin (0,0), it is proportional.

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.

Front

If a table shows the values (1,2), (2,4), (3,6), is it proportional?

Back

Yes, because the ratio of y to x is constant (2 in this case).

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If a relationship is represented by the equation y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.