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 is expressed as a quantity of one per one unit of another quantity.

Front

How do you find the unit rate from a table of values?

Back

To find the unit rate from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

If 4 pounds of grapes cost $24.36, how do you calculate the cost per pound?

Back

Divide the total cost by the number of pounds: $24.36 ÷ 4 = $6.09 per pound.

Front

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

Back

It means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

What is the unit rate for 120 miles in 2 hours?

Back

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

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

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

If a car travels 180 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 60 miles per hour (180 miles ÷ 3 hours).

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the ratio that describes how one quantity changes in relation to another in a proportional relationship.