Independent and Dependent Variables

The video tutorial explains the concepts of independent and dependent variables, using examples to illustrate how one variable affects another. It covers three scenarios: a mathematical function, the relationship between package weight and mailing cost, and how training miles impact race time. The tutorial emphasizes understanding which variable is independent and which is dependent in various contexts.

What is the main role of the independent variable in an equation?

• It is the output of the function.

• It is always a fixed number.

• It is the input that affects the dependent variable.

• It remains constant.

Which variable is affected by changes in the independent variable?

• Control variable

• Constant variable

• Dependent variable

• Random variable

In a real-world scenario, what typically represents the independent variable?

• An output or effect

• An input or cause

• A variable that changes on its own

• A constant factor

Which of the following is an example of a dependent variable?

• The number of hours studied

• The score on a test

• The color of the paper

• The type of pencil used

In a function, what does the dependent variable depend on?

• The constant

• The exponent

• The coefficient

• The independent variable

What is the relationship between independent and dependent variables in a function?

• The independent variable is the output.

• The dependent variable is the input.

• The independent variable affects the dependent variable.

• The dependent variable affects the independent variable.

In the function M = 5K + 2, what is the independent variable?

• M

• 2

• 5

• K

If K is 1 in the function M = 5K + 2, what is the value of M?

• 5

• 7

• 10

• 12

In the equation M = 5K + 2, what happens to M if K increases?

• M becomes zero

• M decreases

• M increases

• M remains the same

In the context of mailing a package, what is the dependent variable?

• The weight of the package

• The destination of the package

• The cost to send the package

• The size of the package