Additive & Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when one quantity increases by a constant amount as another quantity increases. For example, in the equation y = x + 2, y increases by 2 for every increase of 1 in x.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity increases by a constant factor as another quantity increases. For example, in the equation y = 3x, y is three times the value of x.

Front

Identify the relationship: y = x + 5

Back

Additive

Front

Identify the relationship: y = 4x

Back

Multiplicative

Front

What does a table showing a constant difference between values indicate?

Back

It indicates an additive relationship.

Front

What does a table showing a constant ratio between values indicate?

Back

It indicates a multiplicative relationship.

Front

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

Back

Additive

Front

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

Back

Multiplicative

Front

How can you tell if a graph represents an additive relationship?

Back

The graph will show a straight line with a constant slope.

Front

How can you tell if a graph represents a multiplicative relationship?

Back

The graph will show a curve that increases rapidly, indicating exponential growth.