To graph the race between Francesca and Demitri, distance would be plotted against time, showing steeper lines for faster speeds. Francesca's graph would reach the maximum distance faster than Demitri's, indicating her quicker pace.
Graphing Distance vs. Time for Francesca and Demitri
To illustrate Francesca and Demitri's race with a distance vs. time graph, you would plot distance on the y-axis and time on the x-axis. Since Francesca is faster than Demitri, her line would be steeper, showing that she covers more distance in less time. For Francesca's and Demitri's graphs, the y-axis would be 'Distance' and the x-axis would be 'Time'. Both graphs would show a diagonal line ascending from left to right, but Francesca's line would reach the finish line (maximum y-value) quicker than Demitri's.
When graphing Time vs. Distance, time is on the y-axis and distance on the x-axis. Francesca's graph would show her reaching the maximum x-value in less time, so her graph would rise more steeply and plateau sooner. Demitri's graph would show a less steep rise, reflecting his slower pace to the same maximum distance.
the key is to show that Francesca travels the same distance in less time than Demitri, which means on any graph her progress line would be above and to the left of Demitri's.