Final answer:
Without visual graphs provided, it is not possible to select the correct graph representing the department of a swimming pool as it drains. However, the correct graph should show a consistent decline in depth over time which could be linear or nonlinear depending on various factors such as changing water pressure throughout the draining process.
Step-by-step explanation:
The question asked relates to identifying the graph which displays the depth of water in a swimming pool after the drain is opened. Since no graphs are provided in this context, it would be impossible to accurately choose between Option 1, Option 2, and Option 3 without seeing the actual graphs. However, we can discuss the characteristics of such a graph.
When draining a swimming pool, the water level should decrease over time. Therefore, the graph should show a steady decline in the y-axis value, which would represent the depth, as a function of time on the x-axis. Assuming the drain rate remains constant, this would result in a linear decrease. If the drain rate changes due to factors such as water pressure, the rate of decline might also change. So, the correct graph should depict a decrease in water depth that might be linear or nonlinear based on the draining conditions.
Additionally, when discussing physics problems related to water, terms like water pressure, hydrodynamics, and Bernoulli's Equation may often be referred to for explaining various phenomena, such as how pressure increases with depth (h) in a fluid where P = hpg and thus h = P/ pg. This understanding of water and its properties in different contexts is critical in physics education, particularly as it relates to hydraulics and fluid dynamics.