Additive and Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when two quantities are combined by addition. It can be represented by the equation y = x + a, where 'a' is a constant.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity is multiplied by another. It can be represented by the equation y = ax, where 'a' is a constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a value of 1. For example, if 4 apples cost $2, the unit rate is $0.50 per apple.

Front

How do you identify a multiplicative relationship from a graph?

Back

A multiplicative relationship will show a straight line through the origin (0,0) when plotted on a graph, indicating that as one quantity increases, the other increases at a constant rate.

Front

What is the equation for a unit rate?

Back

The equation for a unit rate can be expressed as rate = total quantity / number of units.

Front

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

Back

The slope of a line in a multiplicative relationship represents the constant of proportionality, or how much y changes for a unit change in x.

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve addition and a constant difference, while multiplicative relationships involve multiplication and a constant ratio.

Front

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

Back

This is a multiplicative relationship because y is equal to a constant (2) multiplied by x.

Front

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

Back

This is an additive relationship because y is equal to x plus a constant (5).

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.