Connecting Volume Changes to Linear Functions

Consider the linear function representing this situation. How does the constant value determine where you place one of your points to build the graph?

How does the graph change when the tank is filling up versus when it is emptying? What does a positive or negative slope tell you about the water in the tank?

What does the numerical value of the slope represent in this situation? How does this value affect the steepness of the line you built?

Look at the inequality for time next to the formula (). Why does it make sense to limit the time this way based on what you see in the animation?

Look at the vertical axis (V) of the graph. What are the maximum and minimum values of volume for a specific tank? How are these values connected to the time limits from the previous question?