Dependent and Independent Variables in Word Problems

The video tutorial explains the concepts of dependent and independent variables using story problems. It starts with a problem involving the cost of goldfish, where the total cost depends on the number of goldfish bought. The tutorial demonstrates how to write an equation, create a t-table, and graph the relationship. Another example with side orders and fries is used to further illustrate the identification of dependent and independent variables and forming equations.

What are dependent and independent variables used to describe?

• Quantitative relationships

• Historical relationships

• Qualitative relationships

• Emotional relationships

In the goldfish story problem, what is the cost of one goldfish?

• $1

• $2

• $3

• $4

What does the total cost of goldfish depend on?

• The color of goldfish

• The size of goldfish

• The type of goldfish

• The number of goldfish bought

In the equation y = 2x, what does 'x' represent?

• Total cost

• Price per goldfish

• Number of goldfish

• Number of stores

What is the independent variable in the goldfish problem?

• Number of goldfish

• Total cost

• Number of stores

• Price per goldfish

What is the y-value when x is 3 in the goldfish problem?

• 8

• 4

• 10

• 6

What does the graph of the goldfish problem represent?

• A logarithmic relationship

• An exponential relationship

• A quadratic relationship

• A linear relationship

In the new example, what is assumed to be dependent on the number of side orders?

• Number of main courses

• Number of desserts

• Number of fries

• Number of drinks

What is the equation derived from the new example with fries?

• y = 15x

• y = 10x

• y = 25x

• y = 20x

If x is 4 in the fries example, what is the value of y?

• 100

• 50

• 125

• 75