Linear Functions and Their Applications

This video tutorial by Kirk Wier from eMath Instruction covers unit 3, lesson 3 on linear modeling in Algebra 2. It begins with an introduction to linear modeling concepts, followed by exercises that apply these concepts to real-world problems. The exercises include modeling a journey, creating a cell phone plan model, and analyzing widget production and profit. The video concludes with a summary of the importance of linear modeling in various fields.

What are the two forms used to represent linear functions?

• Polynomial and rational forms

• Quadratic and cubic forms

• Exponential and logarithmic forms

• Point-slope and slope-intercept forms

What is the slope in the linear function representing David's journey?

• 270 miles

• 3.9 hours

• 58 mph

• 45 miles

How long will it take David to reach his destination, rounded to the nearest tenth of an hour?

• 5.1 hours

• 4.5 hours

• 2.8 hours

• 3.9 hours

What is the fixed cost in Mave's cell phone plan model?

• $0.15

• $10.85

• $13.55

• $5.75

What does the slope of 0.15 in Mave's cell phone plan represent?

• Number of calls made

• Total monthly charge

• Cost per call

• Fixed monthly cost

What is the equation for the revenue from selling widgets?

• P = 0.08W - 20.64

• R = 0.26W

• R = 0.15W + 5.75

• C = 0.18W + 20.64

How many widgets must be sold to achieve a profit of at least $40?

• 1000 widgets

• 500 widgets

• 258 widgets

• 758 widgets

Why are linear models often the first choice in modeling real-world phenomena?

• They require advanced technology

• They are simple and easy to use

• They are complex and detailed

• They are only applicable to economics