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.

Tags

CCSS.7.RP.A.2A

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What is the constant rate of change in a proportional relationship?

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The constant rate of change is the ratio that describes how one quantity changes in relation to another, remaining consistent throughout.

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CCSS.7.RP.A.2B

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How can 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 equivalent.

Tags

CCSS.7.RP.A.2A

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What does it mean for a graph to represent a proportional relationship?

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A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

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What is the significance of the origin in proportional relationships?

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The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Tags

CCSS.7.RP.A.2D

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How do you find the constant of proportionality from a proportional relationship?

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The constant of proportionality can be found by dividing one quantity by the corresponding quantity in the relationship.

Tags

CCSS.7.RP.A.2B

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

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

Tags

CCSS.7.RP.A.2A

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What is the difference between proportional and non-proportional relationships?

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Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Tags

CCSS.7.RP.A.2D

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How can you identify a proportional relationship from a graph?

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You can identify a proportional relationship from a graph by checking if the line is straight and passes through the origin.

Tags

CCSS.7.RP.A.2D

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What is the formula for a proportional relationship?

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The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C