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. For example, in the equation y = x + 3, the value of y increases by 3 for every increase of 1 in x.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, in the equation y = 2x, the value of y doubles for every increase of 1 in x.

Front

How can you identify an additive graph?

Back

An additive graph typically shows a straight line with a constant slope, indicating a consistent increase or decrease. The equation will be in the form y = mx + b.

Front

How can you identify a multiplicative graph?

Back

A multiplicative graph usually curves upwards or downwards, indicating exponential growth or decay. The equation will often be in the form y = kx, where k is a constant.

Front

What does the slope represent in an additive relationship?

Back

In an additive relationship, the slope represents the constant amount added to y for each unit increase in x.

Front

What does the slope represent in a multiplicative relationship?

Back

In a multiplicative relationship, the slope is not constant; instead, it represents the factor by which y changes for each unit increase in x.

Front

Give an example of an additive equation.

Back

An example of an additive equation is y = x + 4.

Front

Give an example of a multiplicative equation.

Back

An example of a multiplicative equation is y = 3x.

Front

What is the difference between additive and multiplicative tables?

Back

Additive tables show constant differences between values, while multiplicative tables show constant ratios.

Front

How do you convert an additive equation to a multiplicative form?

Back

You cannot directly convert an additive equation to a multiplicative form, as they represent different types of relationships.