Constant of Proportionality (COP)

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What is the Constant of Proportionality (COP)?

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The Constant of Proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are directly proportional.

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How do you find the Constant of Proportionality in a table?

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To find the Constant of Proportionality in a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

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What does it mean if data is not proportional?

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If data is not proportional, it means that the ratio between the two quantities is not constant; as one quantity changes, the other does not change in a consistent manner.

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What is an example of a proportional relationship?

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

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How can you tell if a graph represents 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).

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What is the Constant of Proportionality for the ratio 1:3?

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The Constant of Proportionality is 1/3.

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If the Constant of Proportionality is 5, what does this mean in a real-world context?

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It means that for every unit increase in one quantity, the other quantity increases by 5 units.

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What is the formula to calculate the Constant of Proportionality?

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The formula is COP = y/x, where y is the dependent variable and x is the independent variable.

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What does a slope of 2 in a graph indicate about the relationship?

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A slope of 2 indicates that for every 1 unit increase in the x-axis, the y-axis increases by 2 units, showing a proportional relationship.

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What is the significance of the Constant of Proportionality in real-life situations?

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The Constant of Proportionality helps in understanding relationships in various contexts, such as speed, density, and financial ratios.