Rate and Unit Rate

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. It is often used to determine the cost per item or the rate of something per unit of time.

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 you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If a store has 120 customers in 6 hours, how do you find the unit rate of customers per hour?

Back

To find the unit rate of customers per hour, divide the total number of customers by the total hours. In this case, 120 customers ÷ 6 hours = 20 customers per hour.

Front

What is the formula to find distance when speed and time are known?

Back

The formula to find distance is: Distance = Speed × Time.

Front

If Ernie travels 195 miles in 3 hours, what is his speed in miles per hour?

Back

To find the speed, divide the distance by the time. Speed = 195 miles ÷ 3 hours = 65 miles per hour.

Front

How do you convert a speed given in miles per hour to a unit rate in miles per minute?

Back

To convert miles per hour to miles per minute, divide the speed by 60. For example, 60 miles per hour ÷ 60 = 1 mile per minute.

Front

What is the unit rate of $3.75 for 3 pounds of granola?

Back

To find the unit rate, divide the total cost by the total weight: $3.75 ÷ 3 pounds = $1.25 per pound.

Front

If Alicia drove 182.4 miles in 3 hours, how do you calculate her rate in miles per hour?

Back

To calculate her rate, divide the total distance by the total time: 182.4 miles ÷ 3 hours = 60.8 miles per hour.

Front

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

Back

Unit rates help consumers make informed decisions by comparing prices, speeds, or other rates, allowing them to determine the best value or efficiency.

Front

How can you determine the total cost if you know the unit rate and quantity?

Back

To determine the total cost, multiply the unit rate by the quantity. For example, if the unit rate is $8 per pound and you buy 5 pounds, the total cost is $8 × 5 = $40.