Rate / Unit Rate

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

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How do you calculate the unit rate from a total quantity and a total time?

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To calculate the unit rate, divide the total quantity by the total time. For example, if there are 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

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If a person types 408 words in 4 minutes, how do you find the words per minute?

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Divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

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What is the formula to find the cost per unit when given total cost and total units?

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The formula is: Cost per unit = Total cost ÷ Total units. For example, if you spend $40 on 5 pounds of concrete, the cost per pound is $40 ÷ 5 = $8 per pound.

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How do you determine the number of items per dollar spent?

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To find the number of items per dollar, divide the total number of items by the total cost. For example, if you can buy 36 cookies for $4, the unit rate is 36 cookies ÷ $4 = 9 cookies per dollar.

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What is the unit rate for concert tickets if 9 tickets cost $279?

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To find the cost per ticket, divide the total cost by the number of tickets: $279 ÷ 9 = $31 per ticket.

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Why is it important to understand unit rates in real-life applications?

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Understanding unit rates helps in making informed decisions, comparing prices, and evaluating efficiency in various contexts, such as shopping, travel, and budgeting.

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What is the relationship between unit rates and ratios?

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Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, making them easier to understand and apply in real-world situations.

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How can unit rates help in comparing different products?

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Unit rates allow consumers to compare the cost-effectiveness of different products by providing a standardized measure (e.g., price per ounce or per item).

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What is an example of a unit rate in a speed context?

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An example of a unit rate in speed is miles per hour (mph), which indicates how many miles are traveled in one hour.