Linear Functions and Fuel Efficiency

The video tutorial covers a lesson on fuel efficiency, focusing on graphing linear functions to model the distance a car can travel based on fuel consumption. It explains how to calculate distance using linear equations, discusses domain and range in interval notation, and introduces a difference function to compare two car models' fuel efficiencies. The tutorial concludes with an assignment for students to apply these concepts.

What is the main focus of the lesson performance task?

• Understanding quadratic equations

• Exploring fuel efficiency and linear functions

• Learning about historical events

• Studying chemical reactions

What was the fuel efficiency of the 2007 passenger car model?

• 40.0 miles per gallon

• 28.5 miles per gallon

• 31.2 miles per gallon

• 35.6 miles per gallon

In which year did the fuel efficiency of the car model increase to 35.6 miles per gallon?

• 2005

• 2010

• 2012

• 2015

What does the 'G' axis represent in the graph?

• Gears

• Grams

• Gallons

• Grades

What is the formula used to represent the linear function for distance?

• D = mg + b

• D = mx + b

• D = gx + b

• D = bx + m

What is the slope of the linear function for the 2007 car model?

• 31.2

• 28.5

• 35.6

• 40.0

How many gallons does the gas tank hold for each car model?

• 18 gallons

• 16 gallons

• 14 gallons

• 12 gallons

What is the domain of the linear function for the car models?

• [0, 14]

• [0, 18]

• [0, 12]

• [0, 16]

What is the range of the 2007 car model's linear function?

• [0, 499.2]

• [0, 569.6]

• [0, 600.0]

• [0, 450.0]

What does the difference function F(G) represent?

• The sum of distances traveled by both cars

• The difference in fuel efficiency between the cars

• The average distance traveled by the cars

• The difference in distance traveled by the cars