Constant of proportionality

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What is the constant of proportionality?

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The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Tags

CCSS.7.RP.A.2B

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How do you identify a proportional relationship from a table of values?

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A proportional relationship can be identified if the ratio of the values in one column to the values in another column is constant.

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CCSS.7.RP.A.2A

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What is the equation of a proportional relationship?

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The equation of a proportional relationship is typically in the form y = kx, where k is the constant of proportionality.

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CCSS.7.RP.A.2C

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What does the point (0, 0) represent in a graph of a proportional relationship?

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The point (0, 0) is called the origin and represents the starting point of the relationship, indicating that when x is 0, y is also 0.

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If y = 18.50x, what is the constant of proportionality?

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The constant of proportionality is 18.50.

Tags

CCSS.7.RP.A.2B

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What does it mean if a table is not proportional?

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If a table is not proportional, it means that the ratios of the corresponding values are not constant.

Tags

CCSS.7.RP.A.2A

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How can you find the constant of proportionality from an equation?

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You can find the constant of proportionality by identifying the coefficient of x in the equation y = kx.

Tags

CCSS.7.RP.A.2B

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What is the relationship between the constant of proportionality and slope in a graph?

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In a graph, the constant of proportionality is equivalent to the slope of the line representing the proportional relationship.

Tags

CCSS.8.EE.B.5

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Can a proportional relationship have a negative constant of proportionality?

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Yes, a proportional relationship can have a negative constant of proportionality, indicating an inverse relationship between the variables.

Tags

CCSS.7.RP.A.2B

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What is the significance of the constant of proportionality in real-world applications?

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The constant of proportionality helps to understand how one quantity changes in relation to another, which is essential in fields like physics, economics, and engineering.

Tags

CCSS.7.RP.A.2D