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First quadrant, x axis labeled, time, hours, y axis labeled, distance from Vacaville, miles, with line segments connecting the following labeled points, in order, y values are approximate: a, origin, b, (1, comma 20), c, (4, comma 260), d, (6, comma 260), e, (8, comma 340), f, (10, comma 380).Recently, Kalani and Lynette took a trip from Vacaville, California to Los Angeles. The graph at right represents their trip.

  1. Explain what each line segment in the graph represents.

    Are they traveling at the same speed all throughout the trip?

    A portion of the trip at a specific speed.

  2. About how many miles is it from Vacaville to Los Angeles? How do you know?

    Which axis represents miles?

    About miles.

  3. Using the graph shown above, sketch a graph that would represent their speed while traveling. Take your time to think this through carefully and be sure to label the axes.

    To find the speed for a portion of the trip, divide the number of miles traveled in that portion by the number of hours it took to travel that portion.

    Graph shown below - a speed of approximately mph for hour, approximately mph for the next hours, mph for hours, approximately mph for hours, and then approximately mph for the last hours; note that the step graph assumes instantaneous change of speed, which is not technically possible.

    First quadrant, x axis, time, y axis, mph, with segments, closed on left, open on right, as follows: from (0, comma 30) to (1, comma 30), from (1, comma 80) to (4, comma 80), from (4, comma 0), to (6, comma 0), from (6, comma 40), to (8, comma 40), from (8, comma 20) to (10, comma 20).