Comparing Unit Rates (Tables & Word Problems)

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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 quantity of one. 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 from a table?

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To calculate a unit rate from a table, divide the total quantity of one item by the total quantity of the other item. For example, if Class A collected 40 toys with 10 students, the unit rate is 40 toys ÷ 10 students = 4 toys per student.

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What does it mean to compare unit rates?

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Comparing unit rates means evaluating two or more rates to determine which one is greater or better. This helps in making decisions, like which product offers more value.

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How do you find the better buy between two products?

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To find the better buy, calculate the unit price (cost per item) for each product and compare them. The product with the lower unit price is the better buy.

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What is the formula for calculating speed?

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Speed = Distance ÷ Time. For example, if a person travels 120 miles in 2 hours, the speed is 120 miles ÷ 2 hours = 60 miles per hour.

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How do you determine who is driving faster between two drivers?

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To determine who is driving faster, calculate the speed (miles per hour) for each driver and compare the results. The driver with the higher speed is driving faster.

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What is the unit price of a pack of juice boxes?

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The unit price is calculated by dividing the total cost by the number of items in the pack. For example, for a pack of 8 juice boxes costing $8.08, the unit price is $8.08 ÷ 8 = $1.01 per juice box.

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How do you compare the cost of cookies from two different sellers?

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Calculate the cost per cookie for each seller by dividing the total cost by the number of cookies. Compare the results to see who offers the better deal.

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What is the significance of unit rates in real-life situations?

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Unit rates help consumers make informed decisions by comparing prices, speeds, and other rates, allowing them to choose the best option.

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What is a ratio?

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A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, a ratio of 3:2 means for every 3 of one item, there are 2 of another.