Additive vs. Multiplicative

Front

What is an additive relationship?

Back

An additive relationship is when two quantities are combined by addition. For example, if you have 3 apples and you get 2 more, the total is 3 + 2 = 5 apples.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when two quantities are combined by multiplication. For example, if you have 3 groups of 2 apples, the total is 3 x 2 = 6 apples.

Front

What is the equation for an additive relationship?

Back

y = x + a

Front

What is the equation for a multiplicative relationship?

Back

y = ax

Front

In an additive relationship, what happens to the total when you add more?

Back

The total increases by the amount added.

Front

In a multiplicative relationship, what happens to the total when you multiply by a larger number?

Back

The total increases significantly, depending on the size of the multiplier.

Front

Does a graph of an additive relationship have a constant slope?

Back

Yes, the slope is constant in an additive relationship.

Front

Does a graph of a multiplicative relationship always start at the origin (0,0)?

Back

Yes, it always starts at the origin.

Front

What is an example of an additive relationship in real life?

Back

Adding the number of books you read each month to find the total over several months.

Front

What is an example of a multiplicative relationship in real life?

Back

Calculating the total cost of items when buying multiple quantities, like 5 packs of gum at $2 each.