The correct graph is C. Odina moved 2.6 meters for every 2 seconds and her speed is equal to the distance she travelled divided by the time, which is = 1.3 m/s. The speed of 1.3 m/s is also the slope of the graph that represents her motion. From the line sketched in graph C, at 2 seconds, her distance is approximately 2.6m.
First, you must notice that the <em>x-axis</em> represents the Time (measured in second)Odina walked down the hall and the <em>y-axis </em>represents the Distance (measured in meters)she traveled.At this graph you can notice that just in <em>2 seconds </em>the distance she traveled is <em>2.6 meters </em>as indicated in the statement above. As the graph is a line, this number will be a constant, that is, she will move 2.6m every 2.0s, so:
This number represents the velocity of Odina. Therefore, <em>she moves at a rate of 1.3 meters per second</em>