Modeling Linear Systems - Activity B


Experiment with a system of two lines representing a cat‑and‑mouse chase. Adjust the speeds of the cat and mouse and the head start of the mouse, and immediately see the effects on the graph and on the chase. Connect real‑world meaning to slope, y‑intercept, and the intersection of lines.

Time remaining to use this Gizmo: 5:00     Extend your five minute free pass.

Assessment Questions (5):

  1. The table below shows the distance of the cat and the mouse from the cat's starting point at given times. After 1 second, how far is the mouse from its hole?

  2. The graph below indicates the distance that the cat and mouse have run as a function of the time since the chase began. How far did the mouse run before the cat caught it?

    Graph
  3. The table below shows the distance of the cat and the mouse from the cat's starting point at given times. Which of the following statements must be true?

    Table
  4. The table below indicates the distance of the cat and mouse from the cat's starting point at given times. How much of a head start did the mouse have on the cat?

    Table
  5. The table below shows the distance, in feet, of the cat and the mouse from the cat's starting point at given times, in seconds. For example, after 0.5 seconds, the mouse is 17 feet from the cat's starting point, and the cat is 9.5 feet from the its starting point. How much faster is the cat running than the mouse?

    Table

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