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 equation y = a + bx?

• The x-intercept

• The y-intercept

• The rate of change

• The initial value

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

• By drawing a parabola through the points

• By plotting the points and drawing a line through them

• By calculating the area under the curve

• 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

• 14 gallons

• 16 gallons

• 18 gallons

What is the initial value of fuel in the car's tank before any miles are driven?

• 0 gallons

• 18 gallons

• 50 gallons

• 4 gallons

What is the linear function that models the relationship between miles driven and fuel remaining in the tank?

• a = 18 + 0.04M

• a = 18 - 0.04M

• a = 0.04M - 18

• a = 0.04M + 18

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

• $72

• $64

• $56

• $96

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

• 7 hours

• 9 hours

• 3 hours

• 5 hours

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

• $8

• $10

• $12

• $6

What does the slope of the line in Andrew's earnings graph represent?

• The decrease in earnings per hour

• The initial earnings

• The total earnings

• The increase in earnings per hour

If Andrew's earnings increase by $8 every hour, what is the slope of the line representing this relationship?

• 12

• 8

• 4

• 16