# Interpreting Slope

Interpreting Slope 1. A water tank has an inlet pipe with a flow rate of 5 gallons per minute and an outlet pipe with a flow rate of 3 gallons per minute. A pipe can be either closed or completely open. The graph shows the number of gallons of water in the tank after x minutes have elapsed. Give the slope of each segment of the graph and use a sentence to interpret the slope of each segment of the graph using appropriate units as well as. tell if pipe is open/closed. I will do the first segment for you. Water Tank Amt Water (gal) 20 15 10 5 0 0 2 4 6 8 10 12 Time (min) Segment 1: 15−0 3−0 = 15 3 = 5 Water is flowing in the tank at a rate of 5 gallons per minute. The inlet pipe is open and the outlet pipe is closed. Segment 2: Segment 3: Segment 4: 2. The graph gives the distance y a person driving a car on a straight road is from home after x hours. Give the slope of each segment of the graph and use a sentence to interpret the slope of each segment using appropriate units. How Far Now 70 Distance (miles) 60 50 40 30 20 10 0 0 1 2 3 Time (hours) 4 5 6 3. A 500-gallon water tank is initially full, then emptied at a constant rate of 50 gallons per minute. Finally, the tank is filled by ta pump that outputs 25 gallon per minute. Sketch a graph that shows the amount of water in the tank after x minutes. Make sure you label your axis and add an appropriate scale for the x and y axis. 4. A water tank has two inlet pipes: one with a flow rate of 5 gallons per minute and the other with a flow rate of 2 gallons per minute. The outlet pipe has a flow rate of 3 gallons per minute. A pipe can be either closed or completely open. The graph shows the number of gallons of water in the tank after x minutes have elapsed. Give the slope of each segment of the graph and use a sentence to interpret the slope of each segment of the graph using appropriate units as well as tell if the pipe is open/closed. Water in the Tank 90 Amount of Water(gal) 80 70 60 50 40 30 20 10 0 0 5 10 15 Time (min) 20 25 30
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