direct AND INVERSE PROPORTION

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What is Direct Proportion?

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Direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable. Mathematically, if y is directly proportional to x, then y = kx, where k is a constant.

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What is Inverse Proportion?

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Inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable. Mathematically, if y is inversely proportional to x, then y = \frac{k}{x}, where k is a constant.

Tags

CCSS.HSF-LE.A.1B

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How do you determine if two ratios form a proportion?

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Two ratios form a proportion if their cross products are equal. For example, if \frac{a}{b} = \frac{c}{d}, then a \cdot d = b \cdot c.

Tags

CCSS.7.RP.A.2A

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What is the formula for percentage of loss?

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Tags

CCSS.6.RP.A.3C

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What is the formula for percentage of gain?

Back

Tags

CCSS.6.RP.A.3C

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If x and y are in direct variation, what is the relationship?

Back

If x and y are in direct variation, then the product xy is constant.

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What is the general equation for inverse variation?

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What is an example of direct proportion in real life?

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An example of direct proportion is the relationship between distance and time when traveling at a constant speed. If speed is constant, doubling the time will double the distance.

Tags

CCSS.7.RP.A.2A

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What is an example of inverse proportion in real life?

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An example of inverse proportion is the relationship between the number of workers and the time taken to complete a job. More workers will reduce the time taken.

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What does it mean if two quantities are directly proportional?

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If two quantities are directly proportional, it means that as one quantity increases, the other quantity also increases at a constant rate.

Tags

CCSS.7.RP.A.2A