Unit Rates

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 25 pens cost $1.00, the unit rate is $1.00 / 25 = $0.04 per pen.

Front

If a car travels 220 miles using 8 gallons of gas, how do you find the miles per gallon (mpg)?

Back

To find the miles per gallon, divide the total miles traveled by the total gallons used. In this case, 220 miles / 8 gallons = 27.5 mpg.

Front

What is the unit rate of problems solved per minute if Kevin completes 45 problems in 2 minutes?

Back

To find the unit rate, divide the total problems by the total time in minutes. Here, 45 problems / 2 minutes = 22.5 problems per minute.

Front

How do you determine the speed in miles per hour (mph) from total distance and time?

Back

To determine speed in mph, divide the total distance by the total time in hours. For example, if Christina biked 36 miles in 6 hours, the speed is 36 miles / 6 hours = 6 mph.

Front

If apples are sold at 4 for $2.40, how do you find the cost of one apple?

Back

To find the cost of one apple, divide the total cost by the number of apples. Here, $2.40 / 4 apples = $0.60 per apple.

Front

What is the formula for calculating unit price?

Back

The formula for calculating unit price is: Unit Price = Total Price / Quantity.

Front

How can you convert a unit rate into 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 quantity (e.g., 2.75 mpg can be written as 2.75/1).

Front

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

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best value for money or understanding speed.

Front

How do you find the unit rate when given a ratio?

Back

To find the unit rate from a ratio, divide the first number by the second number to express it as 'per one' of the second quantity.