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 represents a proportional relationship?

Back

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

Front

What is the unit rate?

Back

The unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

How do you calculate the unit rate from a given distance and gallons used?

Back

To calculate the unit rate, divide the total distance traveled by the total gallons used.

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 it mean if an equation does NOT represent a proportional relationship?

Back

It means that the relationship between the variables does not maintain a constant ratio.

Front

If you travel 150 miles on 5 gallons, what is the unit rate in miles per gallon?

Back

The unit rate is 30 miles per gallon.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if the line is straight and passes through the origin.