Graphs of 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 quantity is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality (k) can be found by dividing the value of the dependent variable by the value of the independent variable at any point on the line.

Front

If you can buy 5 shirts for $60, what is the cost of 1 shirt?

Back

The cost of 1 shirt is $12, calculated by dividing $60 by 5.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

How do you set up a proportion?

Back

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope of a graph in a proportional relationship represents the constant of proportionality.

Front

If a graph shows that $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $62.50 per hour, calculated by dividing $500 by 8.

Front

How can you determine if two ratios are proportional?

Back

Front

What is the relationship between the unit rate and the constant of proportionality?

Back

The unit rate is the same as the constant of proportionality in a proportional relationship.