Form 2: Water Filling and Draining Rates
Explore how water filling and draining rates represent positive and negative rates of change. Interpret rates from contextual graph scenarios.
Questions
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MultiChoice
A pool is filling up. A graph shows volume (gallons) over time (minutes) passing through (0, 0) and (5, 20). What is the filling rate?
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MultiChoice
A water tank drains from 50 gallons to 0 gallons in 5 minutes. What is the rate of change of water volume?
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MultiChoice
In a graph of water volume vs time, what does a positive slope represent?
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MultiChoice
What does a negative slope in a volume-time graph indicate?
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MultiChoice
A tank starts with 10 liters of water and reaches 30 liters after 8 minutes. What is the rate of filling?
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MultiChoice
If a graph of water volume against time is a horizontal line, what does it mean?
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MultiChoice
Pipe A fills a tank with slope 8 gal/min. Pipe B fills a tank with slope 12 gal/min. Which pipe fills faster?
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MultiChoice
A graph passes through points (2, 5) and (6, 11) for water level in liters. What is the slope?
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MultiChoice
A leak drains water at a rate of -2.5 liters per minute. How much water is lost in 16 minutes?
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MultiChoice
What does the slope of a line on a volume vs time graph always represent?
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MultiChoice
A water tub drops from 36 gallons to 24 gallons over 4 minutes. What is the slope of the line?
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MultiChoice
How do you calculate the rate of change for a fluid container graph?