Identify Proportional Relationships

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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How do you determine if two ratios form a proportion?

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Two ratios form a proportion if the cross products are equal.

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What is the constant of proportionality?

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The constant of proportionality is the constant value (k) that relates two proportional quantities.

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k represents the constant of proportionality between y and x.

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What is the relationship between direct variation and proportionality?

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Direct variation is a specific case of proportionality where one variable is a constant multiple of another.

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What is an example of a proportional relationship in real life?

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An example is the relationship between distance and time when traveling at a constant speed.

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How can you represent a proportional relationship on a graph?

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A proportional relationship can be represented as a straight line that passes through the origin.

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What happens to the graph of a proportional relationship if the constant of proportionality increases?

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The slope of the line increases, making the line steeper.