Additive vs. Multiplicative

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to a variable, represented by the equation y = x + a.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a variable is multiplied by a constant, represented by the equation y = ax.

Front

What does the graph of an additive relationship look like?

Back

The graph of an additive relationship is a straight line that does not necessarily pass through the origin.

Front

What does the graph of a multiplicative relationship look like?

Back

The graph of a multiplicative relationship is a curve that always passes through the origin (0,0).

Front

What is the equation for an additive relationship?

Back

y = x + a.

Front

What is the equation for a multiplicative relationship?

Back

y = ax.

Front

In an additive relationship, what happens to y when x increases by 1?

Back

y increases by a constant value (a).

Front

In a multiplicative relationship, what happens to y when x increases by 1?

Back

y increases by a factor of a.

Front

True or False: The graph of a multiplicative relationship always starts at the origin.

Back

True.

Front

True or False: The graph of an additive relationship can cross the origin.

Back

False.