Unit Rates

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 quantity of one. It is often used to describe how much of one item is present for every one unit of another item.

Front

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

Back

To calculate the unit rate, divide the total cost by the total time. For example, if a bike rental costs $79.80 for 6 hours, the unit rate is $79.80 ÷ 6 = $13.30 per hour.

Front

If a product contains 1600 calories in 5 cups, how many calories are in 1 cup?

Back

To find the calories per cup, divide the total calories by the number of cups: 1600 calories ÷ 5 cups = 320 calories per cup.

Front

How do you find the distance traveled by a car given its speed and time?

Back

To find the distance traveled, multiply the speed (in miles per hour) by the time (in hours). For example, if a car travels at 40 miles per hour for 7 hours, the distance is 40 miles/hour × 7 hours = 280 miles.

Front

What is the formula to convert a rate into a different unit?

Back

To convert a rate into a different unit, multiply the rate by a conversion factor that relates the two units. For example, to convert miles per gallon to miles per 3 gallons, multiply the rate by 3.

Front

How do you determine the time taken to travel a certain distance at a constant speed?

Back

To determine the time taken, divide the distance by the speed. For example, if a snail travels 11 inches in 242 minutes, the time to travel 1 inch is 242 minutes ÷ 11 inches = 22 minutes per inch.

Front

What is the relationship between miles per gallon and total distance traveled?

Back

Miles per gallon (mpg) indicates how many miles a vehicle can travel on one gallon of fuel. To find the total distance traveled, multiply the mpg by the total gallons used.

Front

How can you express a rate in different forms?

Back

A rate can be expressed in different forms by using equivalent ratios. For example, 6 miles per gallon can also be expressed as 18 miles to 3 gallons.

Front

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

Back

Unit rates help compare costs, speeds, and efficiencies in real-life situations, making it easier to make informed decisions, such as choosing the best value for products or services.

Front

How do you solve for a missing quantity in a unit rate problem?

Back

To solve for a missing quantity, set up a proportion based on the known unit rate and cross-multiply to find the unknown value.