Additive & Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when a quantity increases or decreases by a constant amount. For example, if you have 3 apples and you add 2 more, you have 5 apples.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, if you have 3 apples and each apple costs $2, the total cost is 3 x 2 = $6.

Front

What is the equation for a multiplicative relationship?

Back

y = ax, where 'a' is a constant.

Front

In a graph of a multiplicative relationship, where does the graph start?

Back

The graph always starts at the origin (0,0).

Front

If the cost of one bookmark is $0.79, how do you find the cost of 'b' bookmarks?

Back

c = 0.79b, where 'c' is the total cost.

Front

What does it mean if a relationship is described as additive?

Back

It means that the total is found by adding a constant amount to a starting value.

Front

What does it mean if a relationship is described as multiplicative?

Back

It means that the total is found by multiplying a starting value by a constant factor.

Front

Give an example of an additive relationship in real life.

Back

If you earn $10 each week, after 4 weeks you will have $40, which is an additive relationship.

Front

Give an example of a multiplicative relationship in real life.

Back

If you buy 5 packs of gum and each pack costs $1.50, the total cost is 5 x 1.50 = $7.50.

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve constant addition, while multiplicative relationships involve constant multiplication.