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 a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 120 miles in 2 hours, the unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

What is the equation of a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities and remains constant throughout the relationship.

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 equivalent.

Front

What is the significance of the graph of a proportional relationship?

Back

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

Front

How do you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship does not form a straight line through the origin when graphed.

Front

If 624 calories are consumed in 3 servings, how do you find the calories per serving?

Back

To find the calories per serving, divide the total calories by the number of servings: 624 calories ÷ 3 servings = 208 calories per serving.

Front

If a recipe calls for 1/4 cup of water for every 1/2 cup of flour, how do you find the amount of flour needed for 1.5 cups of water?

Back

Set up a proportion: (1/4 cup water)/(1/2 cup flour) = (1.5 cups water)/(x cups flour). Cross-multiply and solve for x to find that x = 3 cups of flour.