Understanding Linear Functions in Real-Life Scenarios

The video tutorial explains how Jeff fills his swimming pool with water, starting with 8 gallons and adding 4 gallons per minute. It guides viewers through modeling this situation using a table, graph, and equation. The table is filled with values of x (minutes) and y (gallons), showing the linear relationship. The graph is plotted with these points, and the line is sketched to represent the data. The equation y = 4x + 8 is derived, representing the pool's water level over time. The domain is discussed, emphasizing x values greater than or equal to zero.

What is the initial amount of water in Jeff's swimming pool?

• 4 gallons

• 8 gallons

• 12 gallons

• 16 gallons

At what rate is the swimming pool being filled with water?

• 4 gallons per minute

• 5 gallons per minute

• 3 gallons per minute

• 2 gallons per minute

How many gallons of water are in the pool after 2 minutes?

• 12 gallons

• 14 gallons

• 18 gallons

• 16 gallons

What is the y-intercept of the graph representing the pool's water level?

• (0, 16)

• (0, 12)

• (0, 8)

• (0, 4)

Which of the following points is NOT on the graph of the pool's water level?

• (1, 12)

• (2, 16)

• (3, 20)

• (5, 28)

What is the equation that models the relationship between time and gallons of water in the pool?

• y = 3x + 8

• y = 4x + 8

• y = 6x + 8

• y = 5x + 8

In the equation y = 4x + 8, what does the number 4 represent?

• Total water after 2 minutes

• Total water after 1 minute

• Rate of water flow

• Initial water amount

What is the domain of the function representing the pool's water level?

• x > 0

• x ≤ 0

• x ≥ 0

• x < 0

How is the equation y = 4x + 8 expressed in terms of its form?

• Point-slope form

• Standard form

• Slope-intercept form

• Intercept form

Why is the graph of the pool's water level called a ray?

• It extends infinitely in both directions

• It starts at the y-intercept and extends right

• It starts at the x-intercept and extends left

• It forms a closed loop