Final answer:
Using the equation y = 300 - 20x, we can determine points on a graph that indicate the amount of water left in Lin's 300 gallon hot tub over time, where 'y' is the amount of water and 'x' is time in minutes. For instance, after 5 minutes, the hot tub would have 200 gallons remaining. It would take 15 minutes to completely empty the hot tub.
Step-by-step explanation:
To understand how long it will take Lin to empty her 300 gallon hot tub, we need to create a linear equation based on the rate of drainage. Lin empties her hot tub at a steady rate of 20 gallons each minute. Therefore, the equation representing the situation is y = 300 - 20x, where y represents the amount of water left in the hot tub (in gallons) and x represents the time in minutes. Plotting this equation on a graph, a point on the graph might be (5, 200), which means that after 5 minutes, there would be 200 gallons of water left in the hot tub. Analyzing this point further in context to Lin, it tells us that in 5 minutes, Lin will have emptied 100 gallons of the hot tub. The complete drainage of the hot tub, when the water level reaches 0 gallons, would occur at the point (15, 0) on the graph, indicating that it takes Lin a total of 15 minutes to empty the entire hot tub.