Ratio Tables, Rates, Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles for 1 hour).

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if 6 cans cost $2.40, the unit rate is $2.40 ÷ 6 = $0.40 per can.

Front

If 5 tea bags are needed for 1 gallon of water, how many tea bags are needed for 4 gallons?

Back

20 tea bags are needed for 4 gallons (5 tea bags x 4 gallons = 20 tea bags).

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How do you calculate the cost of more items based on a known cost?

Back

To calculate the cost of more items, find the unit price and multiply it by the number of items. For example, if 3 pounds of lunch meat cost $20.25, the cost per pound is $20.25 ÷ 3 = $6.75, so 5 pounds would cost $6.75 x 5 = $33.75.

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What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If Justin types 408 words in 4 minutes, how many words does he type in 1 minute?

Back

Justin types 102 words per minute (408 words ÷ 4 minutes = 102 words/min).

Front

If a 6 pack of soda costs $2.40, what is the cost of 1 can?

Back

The cost of 1 can of soda is $0.40 ($2.40 ÷ 6 cans = $0.40 per can).

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal, often used to solve for unknown values.