Proportional 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

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

Back

A table represents a proportional relationship if the unit rate (the ratio of the two quantities) is constant for all pairs of values.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

If the unit rate is constant, what does that indicate about the relationship?

Back

If the unit rate is constant, it indicates that the relationship is proportional.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the unit rate in a proportional relationship.

Front

If Jacob mixed 8 cups of flour with 2 cups of water, what is the constant of proportionality for flour to water?

Back

The constant of proportionality is 4, meaning for every cup of water, there are 4 cups of flour.

Front

How do you write an equation from a proportional relationship?

Back

To write an equation from a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

What is the unit rate if 4 pounds of oranges cost $18?

Back

The unit rate is $4.5 per pound.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means the ratio between the two quantities is not constant.