Final answer:
The situation can be represented by two straight lines with y-intercepts representing the initial amounts of milkshake (12 ounces for Lin and 20 ounces for Diego) and slopes representing the rate at which they drink (-1 for Lin and -2 for Diego). The x-axis would represent time in seconds and the y-axis the amount of milkshake in ounces. Their intersection point would indicate when they have the same amount of milkshake remaining.
Step-by-step explanation:
Without graphing, the situation involving Diego and Lin drinking milkshakes can be described using the concepts of slope and y-intercept to understand their graphs. Lin starts with 12 ounces and drinks 1 ounce per second. This situation can be represented on a graph as a straight line with a y-intercept of 12, as that's the amount Lin starts with. The slope of Lin's graph would be -1 because she is losing 1 ounce per second. Diego starts with 20 ounces and drinks 2 ounces per second, which would give his graph a y-intercept of 20 and a slope of -2. Both graphs would show a decrease in the amount of milkshake over time, with Lin's graph descending at half the rate of Diego's. The x-axis of the graphs would be labeled "Time (seconds)" and the y-axis "Amount of Milkshake (ounces)". The intersection point of the two lines would be the time at which Lin and Diego have the same amount of milkshake left. To find this, you'd set the two equations equal to each other (12 - t = 20 - 2t) and solve for t.