Proportional Relationships and Unit Rates

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 quantity by the number of units. For example, if there are 75 pieces of candy in a 15 oz bag, the unit rate is 75 pieces ÷ 15 oz = 5 pieces per ounce.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a straight line, indicating a constant ratio between the two variables.

Front

What is a unit price?

Back

A unit price is the cost per single unit of measure, allowing for comparison of prices between different quantities.

Front

How do you determine which is the better buy?

Back

To determine the better buy, calculate the unit price for each option and compare them. The option with the lower unit price is the better buy.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a 12 pack of Coke costs $3.50, what is the unit price per can?

Back

Unit Price = $3.50 ÷ 12 = approximately $0.29 per can.

Front

If a graph does not pass through the origin, what can you conclude?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

What is the unit rate of 60 miles in 3 hours?

Back

Unit Rate = 60 miles ÷ 3 hours = 20 miles per hour.

Front

What is the significance of a constant ratio in proportional relationships?

Back

A constant ratio means that as one quantity increases or decreases, the other quantity does so in a consistent manner, maintaining the same relationship.