Constant of Proportionality

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What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio or unit rate that describes how one quantity changes in relation to another quantity.

Tags

CCSS.7.RP.A.2B

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How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the same number to express it as a quantity per one unit of the other quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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.

Tags

CCSS.7.RP.A.2A

Front

If a recipe calls for 3/4 cup of sugar for every 3 eggs, what is the unit rate of eggs per cup?

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The unit rate is 4 eggs per cup.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the constant of proportionality represent in a table of values?

Back

The constant of proportionality represents the ratio of the dependent variable to the independent variable in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equivalent.

Tags

CCSS.7.RP.A.2A

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What is the formula for finding the constant of proportionality (k)?

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

Tags

CCSS.7.RP.A.2B

Front

If k = 1.50, what does this imply about the relationship between the variables?

Back

This implies that for every unit increase in the independent variable, the dependent variable increases by 1.50 units.

Tags

CCSS.HSF-LE.A.1B

Front

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

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The constant of proportionality helps to understand and predict how changes in one quantity affect another in various contexts, such as recipes, speed, and pricing.

Tags

CCSS.7.RP.A.2B

Front

How do you express a proportional relationship in an equation?

Back

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C