Proportional / Nonproportional Relationships

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 is constant.

Tags

CCSS.7.RP.A.2A

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship in a table?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is constant and equal to the ratio of the two quantities.

Tags

CCSS.7.RP.A.2D

Front

How can you tell if a graph is proportional?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Tags

CCSS.7.RP.A.2B

Front

If a table shows the values (2,4), (3,6), (4,8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Tags

CCSS.7.RP.A.2A

Front

If a graph has a slope of 0, what does it represent?

Back

A slope of 0 represents a horizontal line, indicating that the y-value does not change as the x-value changes.

Tags

CCSS.8.EE.B.5