Exploring Linear Functions from Word Problems

The video tutorial explores linear functions through various real-world problems, including burger sales, car rentals, tutoring earnings, mailing packages, and airline tickets. It covers key concepts such as rate of change, initial value, and the relationship between independent and dependent variables. The tutorial emphasizes understanding and applying the slope-intercept form of linear equations to model and solve these problems.

What is the term used to describe the rate of change in a linear function?

• Independent variable

• Slope

• Y-intercept

• Dependent variable

In the burger sales example, what is the initial value?

• $0

• $2.20

• $110

• -$110

What does the rate of change represent in the burger sales example?

• The cost of supplies

• The profit per burger sold

• The total number of burgers sold

• The initial debt

In the car rental example, what is the independent variable?

• Daily rental cost

• Number of days rented

• Insurance fee

• Total cost

What is the initial value in the car rental example?

• $45

• $0

• $26

• $71

In the tutoring example, what is the rate of change?

• Number of hours tutored

• $0

• Total earnings

• $50 per hour

What is the initial value in the tutoring example?

• $50

• $0

• Number of hours tutored

• Total earnings

In the package mailing example, what does the rate of change represent?

• Initial fee

• Weight of the package

• Cost per pound

• Total cost

What is the initial value in the package mailing example?

• $4

• Weight of the package

• $0

• $1.10

In the airline ticket example, what does the initial value represent?

• Number of people

• Baggage fee

• Total cost

• Cost per ticket