Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined as the ratio of one quantity to another.

Front

How can you identify a proportional relationship in tables and graphs?

Back

A proportional relationship can be identified in tables and graphs by checking if the ratios of corresponding values are constant.

Front

What does it mean if a table represents a proportional relationship?

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If a table represents a proportional relationship, it means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

What is the formula to find the constant of proportionality?

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The formula to find the constant of proportionality is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows values (2, 4), (4, 8), and (6, 12), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each y value is twice the corresponding x value.

Front

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

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The constant of proportionality is significant in real-world applications as it helps to understand relationships between quantities, such as speed, density, and cost per item.

Front

How do you determine 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).

Front

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

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

Front

If the constant of proportionality is 5, what does this imply about the relationship between the two quantities?

Back

If the constant of proportionality is 5, it implies that for every unit increase in the independent quantity, the dependent quantity increases by 5 units.

Front

What is the constant of proportionality for 624 calories in 3 servings?

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The constant of proportionality is 208 calories per serving.