Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

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What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

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

Back

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.

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in y to the change in x.

Front

What is the equation of a proportional relationship?

Back

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

Front

If y = 4.5x, what is the constant of proportionality?

Back

The constant of proportionality is 4.5.

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What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that as x increases, y increases at a faster rate.

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What does it mean if the constant of proportionality is less than 1?

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If the constant of proportionality is less than 1, it means that as x increases, y increases at a slower rate.

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How can you represent a proportional relationship in a real-world scenario?

Back

A proportional relationship can be represented in real-world scenarios such as pricing, where the cost is directly proportional to the quantity purchased.

Front

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

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The slope of a line in a graph of a proportional relationship is equal to the constant of proportionality.