Rates 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 quantity of one. For example, if you buy 4 apples for $2, the unit rate is $0.50 per apple.

Front

How do you calculate the unit cost of an item?

Back

To calculate the unit cost, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

Front

What is the formula to find the rate?

Back

The formula to find the rate is: Rate = Distance ÷ Time. For example, if a car travels 100 miles in 2 hours, the rate is 100 miles ÷ 2 hours = 50 miles per hour.

Front

What is the difference between a rate and a unit rate?

Back

A rate is a ratio that compares two quantities with different units, while a unit rate is a specific type of rate that compares a quantity to one unit of another quantity.

Front

How do you determine which option is a better buy?

Back

To determine the better buy, calculate the unit price for each option and compare them. The option with the lower unit price is the better buy.

Front

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

Back

To find out, first find the rate: 2 customers ÷ 8 minutes = 0.25 customers per minute. Then multiply by 30 minutes: 0.25 × 30 = 7.5 customers.

Front

What are the units of measurement for speed?

Back

The units of measurement for speed are typically expressed as distance per time, such as miles per hour (mph) or kilometers per hour (km/h).

Front

If a car travels 150 miles in 3 hours, what is its speed?

Back

Speed = Distance ÷ Time = 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the unit cost of a 12-pack of soda that costs $3.50?

Back

Unit cost = Total cost ÷ Number of items = $3.50 ÷ 12 = approximately $0.29 per can.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to express one quantity as one unit. For example, if the rate is 60 miles in 2 hours, the unit rate is 60 ÷ 2 = 30 miles per hour.