Identifying Independent and Dependent Variables

The video tutorial explains independent and dependent variables, using examples to illustrate their relationships. It covers how to identify these variables in equations, tables, and graphs. The first example uses the weights of two dogs, Sherlock and Titan, to demonstrate the concept. The second example uses the ages of Catherine and Abby to further explain the relationship between independent and dependent variables.

What does the independent variable represent in an equation?

• A hypothetical value

• A variable that changes based on another variable

• A constant value

• A variable that does not depend on other variables

In equations, which letter typically represents the dependent variable?

• A

• B

• X

• Y

How does the dependent variable change in relation to the independent variable?

• It increases at a constant rate unrelated to the independent variable

• It remains constant

• It decreases

• It changes based on the independent variable

If Titan's weight is the independent variable, what does Sherlock's weight represent?

• An unrelated variable

• A constant

• Another independent variable

• A dependent variable

What is the equation representing Sherlock's weight in relation to Titan's?

• Y = X - 2

• Y = X/2

• Y = 2X

• Y = X + 2

If Titan weighs 3 units, how much does Sherlock weigh?

• 9 units

• 6 units

• 4 units

• 12 units

What is the relationship between Catherine's and Abby's ages?

• The relationship is not specified

• Catherine is older by 4 years

• They are of the same age

• Abby is older by 4 years

What equation represents Abby's age in relation to Catherine's?

• Y = 4X

• Y = X - 4

• Y = X/4

• Y = X + 4

If Catherine is 2 years old, how old is Abby?

• 6 years old

• 8 years old

• 2 years old

• 4 years old

Which variable is considered the independent variable in the age example?

• The difference in ages

• Abby's age

• The sum of both ages

• Catherine's age