Additive & Multiplicative Relationships

Front

What is an Additive Relationship?

Back

An Additive Relationship occurs when the same value is added to each x-value to find the corresponding y-value.

Front

What is a Multiplicative Relationship?

Back

A Multiplicative Relationship occurs when each x-value is multiplied by the same factor to find the corresponding y-value.

Front

Example of an Additive Relationship: If x = 1, 2, 3 and y = 3, 4, 5, what is the relationship?

Back

The relationship is additive because 2 is added to each x-value.

Front

Example of a Multiplicative Relationship: If x = 1, 2, 3 and y = 2, 4, 6, what is the relationship?

Back

The relationship is multiplicative because each x-value is multiplied by 2.

Front

What does it mean if a relationship is neither additive nor multiplicative?

Back

It means that there is no consistent pattern of addition or multiplication between the x-values and y-values.

Front

In a graph, how can you identify an Additive Relationship?

Back

In a graph, an Additive Relationship appears as a straight line with a constant slope.

Front

In a graph, how can you identify a Multiplicative Relationship?

Back

In a graph, a Multiplicative Relationship appears as a curve that increases or decreases exponentially.

Front

If the equation is y = 3x + 2, what type of relationship is this?

Back

This is an Additive Relationship because of the +2.

Front

If the equation is y = 5x, what type of relationship is this?

Back

This is a Multiplicative Relationship because there is no constant added.

Front

What is the difference between Additive and Multiplicative Relationships?

Back

Additive Relationships involve adding a constant value, while Multiplicative Relationships involve multiplying by a constant factor.