Solve Proportional Relationships

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What is a proportional relationship?

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A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

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How do you determine if a table represents a proportional relationship?

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A table represents a proportional relationship if the ratios of corresponding values are equal.

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What is the constant of proportionality?

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The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

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If Maria types 275 words in 5 minutes, how many words does she type per minute?

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Maria types 55 words per minute (275 words ÷ 5 minutes).

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If a table shows values (2, 4), (3, 6), (4, 8), is it proportional?

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Yes, it is proportional because the ratio of y to x is constant (y/x = 2).

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What is the formula to find the constant of proportionality?

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The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

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If a car travels 90 miles in 2 hours, what is its speed in miles per hour?

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The speed is 45 miles per hour (90 miles ÷ 2 hours).

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What does it mean if a relationship is 'not proportional'?

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A relationship is 'not proportional' if the ratios of the quantities are not constant.

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