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Home > AC > Chapter 4 > Lesson 4.2.1 > Problem 4-73


First quadrant graph, x axis labeled, Time of Day, scaled in hours from noon to 7. Y axis labeled, Distance in miles, scaled in tens, from 0 to 60. An increasing line, labeled, Leslie, starts at the origin, and goes through the point (3, comma 25). A line, labeled, Gale, has these parts: Increasing from the origin and going through the point (1.5, comma 15), then it goes horizontal to the point (3, comma 15), and then rises again.Gale and Leslie are riding in a friendly -mile bike race that started at noon. The graph at right represents their progress so far.  

  1. What does the intersection of the two lines represent?

    When the lines cross it means that Gale and Leslie were in the same place at the same time.

  2. At what time (approximately) did Leslie pass Gale?

    Leslie passes Gale right after the lines cross. At what point do the lines cross?

  3. About how far had Leslie traveled when she passed Gale?

    At what distance did the lines cross?

  4. What do you think happened to Gale between 1:30 and 3:00?

    It could have been anything that made Gale stop, such as a flat tire, or stopping to take a break.

  5. If Leslie continues at a steady pace, when will she complete the race?

    Extend the line of Leslie's path until she hits miles. What time does she hit miles?