Graphing 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 do you find the unit rate in a proportional relationship?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What is the unit rate for 120 miles in 2 hours?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

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

Back

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

Front

What is the definition of a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio between two quantities is not constant.

Front

If you travel 300 miles on 10 gallons, what is the distance traveled per gallon?

Back

30 miles per gallon.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

It means the graph does not pass through the origin or does not form a straight line.

Front

What is the formula to determine if two ratios are proportional?

Back

Two ratios a/b and c/d are proportional if a/b = c/d.

Front

If a table shows (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratios (y/x) are constant (2).