Unit 3 Unit Rates and Percentages Review

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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 total?

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To calculate a unit rate, divide the total quantity by the number of units. For example, if there are 125 students in 5 buses, the unit rate is 125 ÷ 5 = 25 students per bus.

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What is the formula to find the percentage of a number?

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To find the percentage of a number, multiply the number by the percentage (as a decimal). For example, to find 35% of 60, calculate 60 × 0.35 = 21.

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How do you convert a percentage to a decimal?

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To convert a percentage to a decimal, divide the percentage by 100. For example, 35% as a decimal is 35 ÷ 100 = 0.35.

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What is the relationship between percentages and fractions?

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Percentages can be expressed as fractions by placing the percentage over 100. For example, 25% can be written as 25/100, which simplifies to 1/4.

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How do you calculate the total number from a percentage?

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To calculate the total number from a percentage, divide the known quantity by the percentage (as a decimal). For example, if 21 is 35% of the total, the total is 21 ÷ 0.35 = 60.

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What is the cost of buying multiple pounds of an item at a unit price?

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To find the total cost, multiply the unit price by the number of pounds. For example, if apples cost $1.50 per pound, then 9.5 pounds cost 1.50 × 9.5 = $14.25.

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What does it mean to find half of a number?

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Finding half of a number means dividing the number by 2. For example, half of 10 is 10 ÷ 2 = 5.

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How do you find the rate of an activity per unit of time?

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To find the rate of an activity per unit of time, divide the total number of activities by the total time taken. For example, if Sarah kicks 48 soccer balls in 6 minutes, the rate is 48 ÷ 6 = 8 soccer balls per minute.

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

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Understanding unit rates helps in making comparisons and informed decisions in real-life situations, such as calculating costs, speeds, and efficiencies.