Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Tags

CCSS.7.RP.A.2B

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 5 ice cream bars cost $12.25, the unit rate is $12.25 ÷ 5 = $2.45 per ice cream bar.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Tags

CCSS.7.RP.A.2A

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Tags

CCSS.7.RP.A.2B

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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 constant.

Tags

CCSS.7.RP.A.2A

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the equation of a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Tags

CCSS.7.RP.A.2B

Front

What is the graph of a proportional relationship like?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D