Constant of Proportionality - Graphs & Tables (no equations)

Front

What is the Constant of Proportionality?

Back

The Constant of Proportionality is the ratio between two proportional quantities, often represented as 'k' in equations, indicating how one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

How can you find the Constant of Proportionality from a graph?

Back

To find the Constant of Proportionality from a graph, identify the coordinates of two points on the line, then divide the change in the y-values by the change in the x-values.

Tags

CCSS.7.RP.A.2B

Front

What does a proportional relationship look like on a graph?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the Constant of Proportionality for the graph with points (2, 1) and (4, 2)?

Back

The Constant of Proportionality is 1/2.

Tags

CCSS.7.RP.A.2B

Front

What is the Constant of Proportionality for the table where x = 2, y = 8 and x = 4, y = 16?

Back

The Constant of Proportionality is 4.

Tags

CCSS.7.RP.A.2B

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio; the graph does not pass through the origin and may be represented by a curve or a line that does not start at (0,0).

Tags

CCSS.7.RP.A.2D

Front

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

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Tags

CCSS.7.RP.A.2A

Front

What is the Constant of Proportionality for the graph with points (1, 2) and (3, 6)?

Back

The Constant of Proportionality is 2.

Tags

CCSS.7.RP.A.2B

Front

If a table shows x = 1, y = 9 and x = 3, y = 27, what is the Constant of Proportionality?

Back

The Constant of Proportionality is 9.

Tags

CCSS.7.RP.A.2B

Front

What is the significance of the Constant of Proportionality in real-life situations?

Back

The Constant of Proportionality helps to understand relationships between quantities, such as speed, density, and price per item.

Tags

CCSS.7.RP.A.2D