Dependent and Independent Variables in Equations

The video tutorial explains the difference between independent and dependent variables using equations. It demonstrates how the value of a dependent variable relies on the independent variable through various examples. The tutorial also applies these concepts to real-life scenarios, such as calculating distance traveled and the number of light bulbs in packs.

What is the main characteristic of a dependent variable?

• It is not affected by other variables.

• It is the input of an equation.

• It changes based on the independent variable.

• It is always a constant.

In the equation y = 3x + 6, what happens to y when x is 0?

• y becomes 9

• y becomes 6

• y becomes 3

• y becomes 0

If x is 2 in the equation y = 3x + 6, what is the value of y?

• 12

• 15

• 6

• 9

In the equation y = 2x - 2, what is y when x is 4?

• 6

• 12

• 8

• 10

What is the value of y in the equation y = 2x - 2 when x is 10?

• 20

• 22

• 16

• 18

In the context of equations, what is an independent variable?

• A variable that remains constant

• A variable that is the output

• A variable that is the input

• A variable that depends on another

In the equation D = 25h, what does D represent?

• Distance traveled

• Time traveled

• Speed of travel

• Number of boats

In the equation b = 4p, what does p represent?

• Power consumption

• Total brightness

• Number of packs

• Number of light bulbs

What is the dependent variable in the equation D = 25h?

• None of the above

• 25

• h

• D

In the equation b = 4p, what is the dependent variable?

• b

• p

• 4

• None of the above