6.4A - Additive v. Multiplicative

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

In the equation y = 4.5x, what type of relationship does it represent?

Back

Multiplicative.

Front

What does the equation y = 9x imply about the relationship between y and x?

Back

The value of y is nine times the value of x, indicating a multiplicative relationship.

Front

What is the independent variable in a graph?

Back

The independent variable is the quantity that you can control or change, often represented on the x-axis.

Front

In a graph, what is the dependent variable?

Back

The dependent variable is the quantity that depends on the independent variable, often represented on the y-axis.

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 between consecutive y-values is constant, it indicates a multiplicative relationship.

Front

What does it mean if a graph is linear?

Back

A linear graph indicates a constant rate of change, which can represent either an additive or multiplicative relationship.

Front

What is the slope of a line in a graph?

Back

The slope represents the rate of change between the independent and dependent variables.