Additive and Multiplicative Relationships

Front

What is an independent variable?

Back

An independent variable is a variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

Front

What is a dependent variable?

Back

A dependent variable is a variable that depends on other factors; it is what you measure in the experiment.

Front

What is an additive relationship?

Back

An additive relationship is a relationship where a constant is added to a variable, represented by the equation y = x + a.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is a relationship where a variable is multiplied by a constant, represented by the equation y = ax.

Front

Identify the independent variable in the context of selling boxes: 'The more boxes sold, the more money collected.'

Back

Boxes Sold.

Front

Identify the dependent variable in the context of selling boxes: 'The more boxes sold, the more money collected.'

Back

Money Collected.

Front

What is the equation for a multiplicative relationship?

Back

y = ax.

Front

In an additive relationship, if x = 5 and a = 3, what is y?

Back

y = 5 + 3 = 8.

Front

In a multiplicative relationship, if x = 4 and a = 2, what is y?

Back

y = 4 * 2 = 8.

Front

What does it mean if a relationship is described as 'linear'?

Back

A linear relationship means that the relationship between the variables can be represented by a straight line on a graph.