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

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 72 ounces for 12 servings, the unit rate is 72 ÷ 12 = 6 ounces per serving.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, indicating how much one quantity changes in relation to another.

Front

True or False: The point (4, 2) means that 4 cookies were purchased for $2.

Back

True.

Front

What does the point (2, 94) represent in a savings context?

Back

After 2 weeks, they save $94.

Front

Which ordered pair represents the unit rate?

Back

(1, 0.50) represents the unit rate.

Front

What is the formula for finding the constant of proportionality from a table?

Back

The constant of proportionality can be found by dividing the y-value by the x-value for any pair of corresponding values in the table.

Front

If a recipe calls for 3 cups of flour for 4 servings, what is the unit rate of flour per serving?

Back

The unit rate is 3 cups ÷ 4 servings = 0.75 cups of flour per serving.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

How can you determine if a relationship is proportional from a graph?

Back

If the graph is a straight line that passes through the origin, the relationship is proportional.