Unit Rates and Proportional Relationships

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 quantity of one unit, such as miles per hour or price per item.

Front

Define 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 from a given ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a quantity of one.

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

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

Front

What is the formula for calculating a unit rate?

Back

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

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where one of the quantities is normalized to one.

Front

If a recipe requires 4 cups of flour for 2 loaves of bread, what is the unit rate of flour per loaf?

Back

The unit rate is 2 cups of flour per loaf (4 cups ÷ 2 loaves = 2 cups/loaf).

Front

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

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator to express it as a decimal or whole number.