Rates & Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one. It tells you how much of one item corresponds to one unit of another item, such as dollars per item or miles per hour.

Front

How do you calculate the price per gallon of gas?

Back

To find the price per gallon, divide the total cost by the number of gallons. For example, if it costs $46.80 for 13 gallons, the price per gallon is $46.80 ÷ 13 = $3.60.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If 3 pounds of granola cost $3.75, how do you find the cost per pound?

Back

Divide the total cost by the number of pounds: $3.75 ÷ 3 = $1.25 per pound.

Front

What is the speed if a car travels 182.4 miles in 3 hours?

Back

To find the speed in miles per hour, divide the distance by the time: 182.4 miles ÷ 3 hours = 60.8 miles per hour.

Front

How do you find the cost per apple if 7 apples cost $4.55?

Back

Divide the total cost by the number of apples: $4.55 ÷ 7 = $0.65 per apple.

Front

What does it mean to wash 95 cars in 5 days?

Back

To find the number of cars washed per day, divide the total number of cars by the number of days: 95 cars ÷ 5 days = 19 cars per day.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities.

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 number of units, simplified to have a denominator of 1.