After the hare runs 16 miles the tortoise has only run 4 miles. The tortoise and the hare are having a race.
How long does it take the tortoise to catch up? The tortoise and the hare start out together and after half an hour the hare stops to take a rest.Would it be helpful to try to put both graphs on the same pair of axes? Why or why not?.Draw separate graphs that show the relationship between time elapsed, in hours, and distance traveled, in miles, for both the tortoise and the hare.At approximately what times do both tanks contain 1 liter of water? 20 liters?Ī giant tortoise travels at 0.17 miles per hour and an arctic hare travels at 37 miles per hour. At approximately what times do both tanks have the same amount of water?Ĭ. After 30 seconds, which tank has the most water?ī. Answer the following questions and say which graph you used to find your answer.Ī.Sketch and label a graph of the relationship between the volume of water v and time t for Tank B on each of the axes.The relationship between its volume of water and time can be described by the equation v=1/2 t, where t is the time in minutes and v is the total volume in liters of water in the tank. Tank B is filled at a constant rate of 1/2 liters per minute. Tank A is not filled at a constant rate, and the relationship between its volume of water and time is graphed on each set of axes. Two large water tanks are filling with water. Write an equation for each different proportional relationship you find.Sort the graphs into groups based on what proportional relationship they represent.Your teacher will give you 12 graphs of proportional relationships. Lesson 2.2 Card Sort: Proportional Relationships
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