6.4a Multiplicative V. Additive

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 equations like y = x + b, where b is a constant.

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 equations like y = kx, where k is a constant.

Front

Identify the type of equation: y = x + 3

Back

Additive

Front

Identify the type of equation: y = 4x

Back

Multiplicative

Front

What does the slope represent in an additive graph?

Back

In an additive graph, the slope represents the constant rate of change between x and y.

Front

What does the slope represent in a multiplicative graph?

Back

In a multiplicative graph, the slope represents the constant factor by which y changes as x changes.

Front

If y = 2x + 5, is this additive or multiplicative?

Back

Additive

Front

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

Back

Multiplicative

Front

What is the general form of an additive equation?

Back

The general form of an additive equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the general form of a multiplicative equation?

Back

The general form of a multiplicative equation is y = kx, where k is the constant of proportionality.