Constant of Proportionality

Front

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.

Front

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.

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.

Front

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

Back

The unit rate is 4 eggs per cup.

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.

Front

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

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

Front

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

Back

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

Front

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

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

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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.

Front

How do you express a proportional relationship in an equation?

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