Additive vs. Multiplicative

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What is an additive relationship?

Back

An additive relationship is when a quantity increases by a constant amount. For example, if you add 5 to a number each time, that's additive.

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What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases by a constant factor. For example, if you multiply a number by 2 each time, that's multiplicative.

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What does the term 'dependent variable' mean?

Back

The dependent variable is the value that depends on another variable. In a graph, it is usually represented on the y-axis.

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What does the term 'independent variable' mean?

Back

The independent variable is the value that you change or control in an experiment. In a graph, it is usually represented on the x-axis.

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

Back

The equation is typically in the form y = mx + b, where m is the slope and b is the y-intercept.

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

Back

The equation is typically in the form y = kx, where k is a constant that represents the rate of change.

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How can you identify an additive relationship in a graph?

Back

In a graph, an additive relationship shows a straight line that increases or decreases at a constant rate.

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How can you identify a multiplicative relationship in a graph?

Back

In a graph, a multiplicative relationship shows a curve that starts at the origin and increases rapidly.

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What does it mean if a graph starts at the origin (0,0)?

Back

It means that when the independent variable is 0, the dependent variable is also 0, indicating a direct relationship.

Front

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

Back

The slope represents the rate of change and is constant throughout the line.