Proportional VS. Nonproportional 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 between them is constant. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Tags

TEKS.MATH.7.4A

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What is a nonproportional relationship?

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A nonproportional relationship is a relationship between two quantities where the ratio is not constant. This means that the change in one quantity does not consistently affect the other.

Tags

TEKS.MATH.7.4A

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What does it mean for a graph to be linear?

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A linear graph is a straight line that represents a constant rate of change between two variables.

Tags

TEKS.MATH.A.3C

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What is the significance of the point (0,0) in proportional relationships?

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

Tags

TEKS.MATH.7.4A

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How can you identify a proportional relationship from a graph?

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

Tags

TEKS.MATH.7.4A

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What is the constant of proportionality?

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The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented as 'k' in the equation y = kx.

Tags

TEKS.MATH.7.4C

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How do you find the constant of proportionality from a table?

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To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Tags

TEKS.MATH.7.4C

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What does it mean if a graph is nonlinear?

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A nonlinear graph does not form a straight line and indicates that the relationship between the variables is not constant.

Tags

TEKS.MATH.8.5C

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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

TEKS.MATH.7.4A

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

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An example of a nonproportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus overtime.

Tags

TEKS.MATH.7.4A