Unit 5 Rates & Proportions Review

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you buy 5 pounds of concrete for $40, the unit rate is $8 per pound.

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How do you calculate the unit rate?

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To calculate the unit rate, divide the total amount of one quantity by the total amount of the other quantity. For example, if you have 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

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What does it mean for two figures to be similar?

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Two figures are similar if they have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.

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How do you find a missing side in similar figures?

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To find a missing side in similar figures, set up a proportion using the lengths of the corresponding sides of the figures and solve for the unknown side.

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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. It can be expressed in different forms, such as '4 to 3' or 4:3.

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How do you write a ratio?

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A ratio can be written in three ways: using the word 'to' (e.g., 4 to 3), using a colon (e.g., 4:3), or as a fraction (e.g., 4/3).

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What is a proportional relationship?

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A proportional relationship is one where two quantities maintain a constant ratio or rate. If one quantity doubles, the other quantity also doubles.

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How can you tell if a table represents a proportional relationship?

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A table represents a proportional relationship if the ratios of the corresponding values are constant. You can check this by dividing each pair of values.

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What is the difference between proportional and non-proportional relationships?

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Proportional relationships have a constant ratio between quantities, while non-proportional relationships do not maintain a constant ratio.

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What is an example of a unit rate in everyday life?

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An example of a unit rate is the price of gas, such as $3.50 per gallon.