Tables, Graphs, & Equations of Proportional Relationships

Front

What does a point (x, y) represent in a context of saving money over time?

Back

It represents the amount saved (y) after a certain number of weeks (x).

Tags

CCSS.HSF.LE.B.5

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio between two quantities remains constant.

Tags

CCSS.7.RP.A.2A

Front

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

Back

Check if the unit rate (the ratio of y to x) is constant for all pairs of values.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a graph does not pass through the origin?

Back

It indicates that the relationship is not proportional, as a proportional relationship must start at the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant ratio of y to x, representing how much y changes for a one-unit change in x.

Tags

CCSS.7.RP.A.2D

Front

How do you write an equation for a proportional relationship?

Back

The equation is typically in the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope represents the unit rate and indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a table is not proportional?

Back

It means that the ratios of corresponding values do not remain constant.

Tags

CCSS.7.RP.A.2A

Front

How can you visually identify a proportional relationship in a graph?

Back

A proportional relationship will be represented by a straight line that passes through the origin.

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

It is the constant value (k) that relates the two quantities in a proportional relationship.

Tags

CCSS.7.RP.A.2B