M7HN/Prealgebra- Independent and Dependent Variables

Front

What is the definition of a dependent variable?

Back

A dependent variable is the variable in an experiment or equation that is affected by changes in the independent variable. It is often what you measure or observe.

Front

What is the definition of an independent variable?

Back

An independent variable is the variable that is manipulated or changed in an experiment to observe its effect on the dependent variable.

Front

In the formula V=4πr³, what does V represent?

Back

V represents the volume of the sphere.

Front

In the formula V=4πr³, what does r represent?

Back

r represents the radius of the sphere.

Front

What is the relationship between independent and dependent variables?

Back

The independent variable is the cause, while the dependent variable is the effect. Changes in the independent variable lead to changes in the dependent variable.

Front

What are some common terms used to refer to independent variables?

Back

Common terms include input, independent variable, and domain.

Front

In a cost versus tokens scenario, which variable is typically independent?

Back

The number of tokens purchased is the independent variable.

Front

In a road trip scenario, if distance is the dependent variable, what is the independent variable?

Back

The independent variable is time, as distance changes based on the time traveled.

Front

What does the term 'domain' refer to in the context of independent variables?

Back

The domain refers to the set of all possible input values (independent variables) for a function.

Front

In the context of babysitting, if h represents hours worked, what does m represent?

Back

m represents the amount of money earned, which is the dependent variable.