Additive and Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is one where a constant is added or subtracted to a variable to find the corresponding value of another variable.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is one where each value of a variable is multiplied by a constant factor to find the corresponding value of another variable.

Front

What is the rule for a multiplicative relationship if the factor is 3?

Back

Multiply by 3.

Front

In a multiplicative relationship, what does the graph look like?

Back

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

Front

True or False: In graphs of multiplicative relationships, the graph always starts at the origin (0,0).

Back

True.

Front

What is the equation form of a multiplicative relationship?

Back

The equation form is typically y = kx, where k is the constant factor.

Front

What is the equation form of an additive relationship?

Back

The equation form is typically y = mx + b, where m is the slope and b is the y-intercept.

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.

Front

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

Back

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

Front

What does it mean if a relationship is linear?

Back

A linear relationship means that the relationship can be represented by a straight line on a graph.