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.

Tags

CCSS.7.RP.A.2B

Front

How do you determine if a relationship is proportional?

Back

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

Tags

CCSS.7.RP.A.2A

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.7.RP.A.2B

Front

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

Back

The unit rate is 30 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2B

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

Back

The constant of proportionality is 5.

Tags

CCSS.7.RP.A.2B