Identifying Direct Proportion

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What is a direct proportion?

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A direct proportion is a relationship between two quantities where if one quantity increases, the other quantity increases at a constant rate. This can be expressed as y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2A

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How do you find the constant of proportionality in a direct proportion equation?

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To find the constant of proportionality (k), rearrange the equation y = kx to k = y/x. This value remains constant for all pairs of (x, y) in a direct proportion.

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CCSS.7.RP.A.2B

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CCSS.7.RP.A.2B

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If 2 slices of pizza have 300 calories, how many calories are in 6 slices?

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900 calories.

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CCSS.6.RP.A.3B

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In a cake recipe, if 1.5 cups of milk are needed for 3 cups of flour, how much milk is needed for 12 cups of flour?

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6 cups of milk.

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CCSS.6.RP.A.3B

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How can you determine if a table represents a direct proportion?

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You check ALL of the ratios of y/x or output/input to ensure they are equivalent to the same number.

Tags

CCSS.7.RP.A.2A

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What is the constant of proportionality if the table shows that y/x = 1/2?

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The constant of proportionality is 1/2.

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CCSS.7.RP.A.2B

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What is the relationship between the variables in a direct proportion?

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In a direct proportion, the ratio of the two variables remains constant.

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CCSS.7.RP.A.2B

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If y = 4x, what is the constant of proportionality?

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The constant of proportionality is 4.

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CCSS.7.RP.A.2B

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If a recipe is doubled, how does that affect the quantities of ingredients?

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All quantities of ingredients must also be doubled to maintain the proportions.

Tags

CCSS.7.RP.A.2A