Rate & Unit Rate

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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How do you calculate a unit rate?

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To calculate a unit rate, divide the quantity of one item by the number of units of another item. For example, if you have 14 inches of snow in 5 hours, divide 14 by 5 to find the unit rate of 2.8 inches per hour.

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What is the formula for finding the rate?

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The formula for finding the rate is: Rate = Total Quantity / Total Time.

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

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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.

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How can you determine which option is a better buy?

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

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What is an example of a rate in everyday life?

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An example of a rate in everyday life is speed, such as miles per hour (mph) or price per item, like dollars per pound.

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If a person can complete a task in a certain amount of time, how do you find their work rate?

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To find the work rate, divide the total amount of work done by the total time taken. For example, if a person types 408 words in 4 minutes, their work rate is 102 words per minute.

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What is a double number line and how is it used?

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A double number line is a visual representation that shows two related quantities along two parallel lines. It is used to compare rates and understand proportional relationships.

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How do you convert a rate into a unit rate?

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To convert a rate into a unit rate, divide both quantities by the same number to express one quantity as a single unit. For example, if you have 6 cups of grape juice for every 2 cups of orange juice, the unit rate is 1 cup of orange juice for every 3 cups of grape juice.

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What is the significance of unit rates in real-world applications?

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Unit rates are significant in real-world applications because they allow for easy comparison of different quantities, helping consumers make informed decisions, such as finding the best price or understanding speed.