Constant of Proportionality/Unit Rate

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the two quantities remains constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a table shows values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, as each y-value is 3 times the corresponding x-value.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x, with k being the constant of proportionality.

Front

How can you express a constant of proportionality from a word problem?

Back

To express a constant of proportionality from a word problem, identify the quantities involved and find the ratio of the dependent variable to the independent variable.

Front

What is the unit rate of 60 miles in 2 hours?

Back

The unit rate is 30 miles per hour.

Front

If a recipe requires 4 cups of flour for 2 batches, what is the constant of proportionality?

Back

The constant of proportionality is 2 cups of flour per batch.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the denominator to find the amount per one unit of the second quantity.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.