Linear Functions and Fuel Consumption

This video tutorial covers grade 8 module 6 on linear functions, focusing on lesson 3 about representing lines. It explains how to model situations using linear equations, graph linear functions, and solve problems using given rates of change and initial values. The tutorial includes two exit card problems: one on car fuel consumption and another on Andrew's earnings, demonstrating how to apply linear functions to real-world scenarios.

What does the 'b' represent in the linear function equation y = a + bx?

• The x-coordinate

• The y-intercept

• The rate of change

• The initial value

How can you graph a linear function when given two or more ordered pairs?

• By plotting the points and drawing a line through them

• By calculating the slope and intercept

• By using only the initial value

• By finding the midpoint of the points

If a car starts with 18 gallons of fuel and consumes 0.04 gallons per mile, how much fuel is left after 50 miles?

• 20 gallons

• 18 gallons

• 14 gallons

• 16 gallons

What is the rate of change in the car fuel consumption example?

• 4 gallons per mile

• 0.004 gallons per mile

• 0.4 gallons per mile

• 0.04 gallons per mile

What is the linear function equation for the car's fuel consumption?

• a = 0.04M - 18

• a = 18 + 0.04M

• a = 18 - 0.04M

• a = 0.4M + 18

How much does Andrew earn if he works for 7 hours?

• $96

• $56

• $80

• $64

How many hours does Andrew need to work to earn $64?

• 5 hours

• 3 hours

• 7 hours

• 4 hours

What is the rate of change in Andrew's earnings example?

• $6 per hour

• $10 per hour

• $8 per hour

• $12 per hour

What does the slope of 8 represent in Andrew's earnings example?

• Andrew earns $8 every day

• Andrew earns $8 every hour

• Andrew earns $8 every week

• Andrew earns $8 every month

If Andrew's earnings increase by $8 every hour, how much will he earn after 10 hours?

• $96

• $64

• $80

• $100