Additive & Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when a quantity increases or decreases by a constant amount. It can be represented by the equation y = x + a.

Tags

CCSS.5.OA.B.3

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. It can be represented by the equation y = ax.

Tags

CCSS.5.OA.B.3

Front

What does the equation y = x + a represent?

Back

It represents an additive relationship where 'a' is a constant added to 'x'.

Tags

CCSS.8.EE.B.5

Front

What does the equation y = ax represent?

Back

It represents a multiplicative relationship where 'a' is a constant that multiplies 'x'.

Tags

CCSS.7.RP.A.2C

Front

In a graph of an additive relationship, where does the line start?

Back

The line can start anywhere on the y-axis, depending on the value of 'a'.

Tags

CCSS.8.EE.B.5

Front

In a graph of a multiplicative relationship, where does the line start?

Back

The line always starts at the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is the slope of a line in an additive relationship?

Back

The slope is constant and represents the rate of change of y with respect to x.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope varies depending on the value of 'a' and represents the ratio of change.

Tags

CCSS.8.EE.B.5

Front

How can you identify an additive relationship in a table of values?

Back

If the difference between consecutive y-values is constant, it indicates an additive relationship.

Tags

CCSS.5.OA.B.3

Front

How can you identify a multiplicative relationship in a table of values?

Back

If the ratio of consecutive y-values is constant, it indicates a multiplicative relationship.

Tags

CCSS.7.RP.A.2B