Constant of Proportionality

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Tags

CCSS.7.RP.A.2B

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Tags

CCSS.7.RP.A.2A

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically 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 3, what is the relationship between x and y?

Back

If k = 3, then for every unit increase in x, y increases by 3, represented by the equation y = 3x.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios of the corresponding values are not constant, meaning they do not maintain a consistent relationship.

Tags

CCSS.7.RP.A.2A

Front

How do you identify the constant of proportionality from a graph?

Back

The constant of proportionality can be identified from a graph by finding the slope of the line that passes through the origin.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the origin in a proportional relationship?

Back

In a proportional relationship, the line representing the relationship passes through the origin (0,0), indicating that when x = 0, y = 0.

Tags

CCSS.7.RP.A.2D

Front

What is the difference between the x-axis and y-axis in a graph?

Back

The x-axis is the horizontal axis, while the y-axis is the vertical axis.

Tags

CCSS.5.G.A.1

Front

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

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (k = 2).

Tags

CCSS.7.RP.A.2A

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the relationship can be represented by a straight line on a graph, typically in the form y = mx + b.

Tags

CCSS.8.F.A.3