Rate and Unit Rate

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units, such as speed (miles per hour) or cost (dollars per pound).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if you buy 5 pounds of concrete for $40, the unit rate is $8 per pound.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the formula to find the total cost based on unit rate?

Back

Total Cost = Unit Rate × Number of Units.

Front

If a 20-lb bag of dog food costs $23.44, what is the cost per pound?

Back

Cost per pound = $23.44 ÷ 20 lbs = $1.172 per pound.

Front

How do you determine which option has the lowest cost per unit?

Back

Calculate the cost per unit for each option and compare them. The option with the lowest cost per unit is the best choice.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is described by the formula: Distance = Rate × Time.

Front

If a cashier serves 2 customers in 8 minutes, how many customers can he serve in 30 minutes?

Back

He can serve 7.5 customers in 30 minutes.

Front

What is the unit of measurement for speed?

Back

The unit of measurement for speed is typically miles per hour (mph) or kilometers per hour (km/h).