Understanding Relationships: Additive vs Multiplicative

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to a quantity to find a corresponding value. For example, if you add 3 to each number in a sequence, it shows an additive relationship.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when each value in a set is multiplied by a constant factor to find a corresponding value. For example, if you multiply each number by 2, it shows a multiplicative relationship.

Front

How can you identify an additive relationship in a table?

Back

In a table, an additive relationship can be identified if the difference between consecutive y-values is constant.

Front

How can you identify a multiplicative relationship in a table?

Back

In a table, a multiplicative relationship can be identified if the ratio between consecutive y-values is constant.

Front

What does it mean if both tables represent a multiplicative relationship?

Back

It means that for each x-value in both tables, the corresponding y-value is obtained by multiplying the x-value by a constant factor.

Front

If each x-value is multiplied by 3 to get the y-value, what type of relationship is this?

Back

This is a multiplicative relationship.

Front

What is the independent quantity in a relationship?

Back

The independent quantity is the variable that is changed or controlled in an experiment or equation, often represented by x.

Front

What is the dependent quantity in a relationship?

Back

The dependent quantity is the variable that responds to the changes in the independent quantity, often represented by y.

Front

If you have the equation y = 5x, what type of relationship does this represent?

Back

This represents a multiplicative relationship because y is determined by multiplying x by 5.

Front

In a graph, how can you tell if a relationship is additive?

Back

In a graph, an additive relationship will show a straight line with a constant slope.