Unit Rate

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, cost per item).

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if a box of 35 diapers costs $6.99, the unit rate is $6.99 ÷ 35.

Front

What is the unit rate of 5 pounds of concrete that costs $40?

Back

The unit rate is $40 ÷ 5 pounds = $8 per pound.

Front

If there are 45 seats in 9 rows, how do you find the number of seats per row?

Back

Divide the total number of seats by the number of rows: 45 seats ÷ 9 rows = 5 seats per row.

Front

How do you find the cost of one item if you know the total cost and the number of items?

Back

Divide the total cost by the number of items. For example, if Aidan paid $27 for 3 books, the cost per book is $27 ÷ 3 = $9.

Front

What is the formula for calculating the average score per game?

Back

To find the average score per game, divide the total score by the number of games played. For example, 84 points in 6 games gives an average of 84 ÷ 6 = 14 points per game.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare costs, speeds, and efficiencies, making it easier to make informed decisions in purchasing, travel, and resource management.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the total quantity and the denominator is the unit (e.g., 20 cents per diaper can be written as 20/1).

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, simplifying comparisons.

Front

How do you convert a unit rate into a percentage?

Back

To convert a unit rate into a percentage, divide the unit rate by the total and multiply by 100. For example, if the unit rate is $0.20 for a diaper, it can be expressed as (0.20/6.99) * 100.