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?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a fraction with a denominator of one.

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the graph will pass through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

Front

How can you tell if a table is non-proportional?

Back

A table is non-proportional if the ratios of the quantities are not constant or if it does not pass through the origin.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (2 cups for 4 servings means 0.5 cups per serving; 0.5 cups x 10 servings = 5 cups).

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of gasoline; if 1 gallon costs $3, then 2 gallons cost $6, maintaining a constant ratio.

Front

What does it mean for a unit rate to be constant?

Back

A constant unit rate means that the ratio of the two quantities does not change, regardless of the amount.