Additive & Multiplicative Relationships

Front

What is an additive relationship?

Back

An additive relationship is when a quantity increases or decreases by a constant amount. It can be represented by the equation y = x + a.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. It can be represented by the equation y = ax.

Front

What does the equation y = x + a represent?

Back

It represents an additive relationship where 'a' is a constant added to 'x'.

Front

What does the equation y = ax represent?

Back

It represents a multiplicative relationship where 'a' is a constant that multiplies 'x'.

Front

In a graph of an additive relationship, where does the line start?

Back

The line can start anywhere on the y-axis, depending on the value of 'a'.

Front

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

Back

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

Front

What is the slope of a line in an additive relationship?

Back

The slope is constant and represents the rate of change of y with respect to x.

Front

What is the slope of a line in a multiplicative relationship?

Back

The slope varies depending on the value of 'a' and represents the ratio of change.

Front

How can you identify an additive relationship in a table of values?

Back

If the difference between consecutive y-values is constant, it indicates an additive relationship.

Front

How can you identify a multiplicative relationship in a table of values?

Back

If the ratio of consecutive y-values is constant, it indicates a multiplicative relationship.