Proportional vs Nonproportional

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 identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

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

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

How do you determine if a graph is proportional or nonproportional?

Back

A graph is proportional if it is a straight line that passes through the origin; otherwise, it is nonproportional.

Front

What does it mean if a table does not show a constant ratio?

Back

If a table does not show a constant ratio, it indicates that the relationship is nonproportional.

Front

Can a proportional relationship have a y-intercept other than zero?

Back

No, a proportional relationship must have a y-intercept of zero.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed.