Understanding Linear Functions and Tax

The video tutorial explains how to create a linear function to calculate the total cost of a purchase including sales tax. It introduces the concept of linear functions using a real-life example of a 7% sales tax. The function T(X) is defined to represent the total cost after tax, and its linear nature is explained. An example calculation is provided to demonstrate how to use the function to find the total cost of a $29 shirt after tax.

What is the main problem being addressed in the video?

• Solving quadratic equations

• Determining the speed of a car

• Finding the total cost including sales tax

• Calculating the area of a circle

What is the purpose of the function T(x) in the context of the video?

• To solve for x in an equation

• To find the volume of a cylinder

• To determine the total cost after tax

• To calculate the area of a rectangle

What does the function T(x) represent?

• The original price of an item

• The total cost after adding sales tax

• The discount on an item

• The shipping cost of an item

How is the sales tax calculated in the function?

• By dividing the price by 0.07

• By adding a fixed amount

• By multiplying the price by 0.07

• By subtracting a percentage from the price

What is the significance of combining like terms in the function?

• It eliminates the variable x

• It simplifies the function to 1.07x

• It changes the function to a constant

• It makes the function quadratic

What is the original cost of an item in the function T(x)?

• T(x)

• 0.07

• X

• 1.07

What is the role of the constant 0.07 in the function?

• It is the discount rate

• It is the total cost

• It is the sales tax rate

• It represents the original cost

What does the term 1.07x represent in the function?

• The total cost after tax

• The discount

• The sales tax

• The original cost

Why is the function considered linear?

• Because it forms a parabola

• Because it has a constant slope

• Because it is a quadratic equation

• Because it has a variable exponent

What is the slope of the linear function T(x)?

• 1.07

• 0.07

• 7

• 0.7