Proportional Relationships in Tables, Graphs, and Equations

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

How can you identify a proportional relationship in a graph?

Back

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

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented by 'k'.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity and check if the result is constant.

Tags

CCSS.7.RP.A.2B

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for one unit of another quantity in a proportional relationship.

Tags

CCSS.7.RP.A.2D

Front

If a table shows values (2, 6), (4, 12), and (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (3 in this case).

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the quantities are not constant.

Tags

CCSS.7.RP.A.2A

Front

How can you determine if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Tags

CCSS.7.RP.A.2B

Front

What does the point (3, 15) represent in a proportional relationship?

Back

It represents that for every 3 units of x, there are 15 units of y, indicating a constant ratio.

Tags

CCSS.7.RP.A.2D