Additive and Multiplicative Relationships

Front

What type of relationship is represented in the equation x + 3 = y?

Back

Additive; the graph would NOT cross through the origin.

Front

In graphs of multiplicative relationships, where does the graph always start?

Back

At the origin (0,0).

Front

What is the clue word that indicates a MULTIPLICATIVE relationship in the context of buying items?

Back

Each.

Front

Which equation matches the values in the table if the equation is y = x + 5?

Back

The equation is y = x + 5.

Front

What is the rule for the equation y = 3.5x?

Back

Multiply by 3.5.

Front

What is an additive relationship?

Back

A relationship where a constant is added to a variable, represented by a linear equation of the form y = mx + b.

Front

What is a multiplicative relationship?

Back

A relationship where a variable is multiplied by a constant, represented by equations of the form y = kx.

Front

How can you identify an additive relationship in a graph?

Back

The graph will be a straight line that does not pass through the origin.

Front

What does the slope represent in an additive relationship?

Back

The rate of change of y with respect to x.

Front

What does the slope represent in a multiplicative relationship?

Back

The constant factor by which y changes for a unit change in x.