Connecting Volume Changes to Linear Functions
Connecting Volume Changes to Linear Functions
Explore how changes in volume over time can be modeled using a linear function and its graph.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
Consider the linear function representing this situation. How does the constant value determine where you place one of your points to build the graph?
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Open-ended question 2
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?
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Open-ended question 3
What does the numerical value of the slope represent in this situation? How does this value affect the steepness of the line you built?
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Open-ended question 4
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?
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Open-ended question 5
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?
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Prerequisite Resources
