Representing Proportional Relationships

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. For example, if y = kx, then k is the constant of proportionality.

Tags

CCSS.7.RP.A.2B

Front

True or False: The constant of proportionality is also known as the unit rate.

Back

True

Tags

CCSS.7.RP.A.2B

Front

What does it mean if an equation represents a proportional relationship?

Back

It means that the relationship between the variables can be expressed as y = kx, where k is a constant.

Tags

CCSS.7.RP.A.2C

Front

Write the equation for the proportional relationship represented by the table: (1, 3), (2, 6), (3, 9).

Back

y = 3x

Tags

CCSS.7.RP.A.2C

Front

True or False: The point (4, 2) indicates that 4 cookies were purchased for $2.

Back

True

Front

What is a unit rate?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine if a relationship is proportional from a graph?

Back

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

Tags

CCSS.7.RP.A.2D

Front

If k = 5, what is the value of y when x = 4 in the equation y = kx?

Back

y = 5 * 4 = 20.

Tags

CCSS.7.RP.A.2B

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a proportional relationship, the slope of the line is equal to the constant of proportionality (k).

Tags

CCSS.7.RP.A.2D

Front

If the constant of proportionality is 1/2, what is the equation of the proportional relationship?

Back

y = (1/2)x.

Tags

CCSS.7.RP.A.2C