Additive and Multiplicative Relations

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 add 3 to a number each time, that's additive.

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 multiply a number by 2 each time, that's multiplicative.

Front

How do you represent an additive relationship with an equation?

Back

An additive relationship can be represented as y = mx + b, where m is the constant amount added and b is the starting value.

Front

How do you represent a multiplicative relationship with an equation?

Back

A multiplicative relationship can be represented as y = kx, where k is the constant factor by which x is multiplied.

Front

What does the slope of a line represent in an additive relationship?

Back

The slope represents the constant amount added for each unit increase in x.

Front

What does the slope of a line represent in a multiplicative relationship?

Back

The slope represents the rate of change, indicating how much y changes for each unit increase in x.

Front

If y = 3x, is this an additive or multiplicative relationship?

Back

Multiplicative, because y changes by a factor of 3 for each unit increase in x.

Front

If y = x + 5, is this an additive or multiplicative relationship?

Back

Additive, because y increases by 5 for each unit increase in x.

Front

What is the difference between additive and multiplicative relationships?

Back

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

Front

Give an example of an additive relationship in real life.

Back

An example is saving $5 every week; your total savings increases by $5 each week.