Unit Rates and Comparing 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 value of one. It is often used to determine the cost per item or the rate of consumption.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total price by the number of units. For example, if a product costs $4.00 for 8 units, the unit price is $4.00 ÷ 8 = $0.50 per unit.

Front

What is the formula to find the unit rate of a quantity over time?

Back

The formula to find the unit rate of a quantity over time is: Unit Rate = Total Quantity ÷ Total Time.

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How can you compare unit rates to determine the better deal?

Back

To compare unit rates, calculate the unit price for each option and then compare these values. The option with the lower unit price is the better deal.

Front

If a 12-pack of soda costs $3.50, what is the unit price per can?

Back

The unit price per can is $3.50 ÷ 12 = $0.2917, or approximately $0.29 per can.

Front

What is the unit rate if a person can run 10 miles in 2 hours?

Back

The unit rate is 10 miles ÷ 2 hours = 5 miles per hour.

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator and express the result as a rate per one unit.

Front

What is the unit price of 10 slices of cheese that cost $2.48?

Back

The unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

If a person drinks 1/2 liter of tea every 2/3 of an hour, how much do they drink per hour?

Back

To find the rate per hour, calculate (1/2) ÷ (2/3) = (1/2) * (3/2) = 3/4 liters per hour.

Front

What is the importance of finding unit rates in shopping?

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Finding unit rates helps consumers make informed decisions by comparing prices and determining the best value for their money.