The distance, in feet, two boys travel per second on a treadmill is shown to the left comparison is accurate is Xavier is traveling at 1.5 feet per second correct option is a.
We can see this from the graph that Xavier's line has a steeper slope than Moises' line. This means that Xavier is covering more distance in each second than Moises.
b) Moises is going faster than Xavier: This is incorrect because Xavier's line has a steeper slope, which means he is covering more distance per second.
c) The difference in their rates of change is 1 foot per second:** This is incorrect because the difference in their rates of change is actually 0.5 feet per second. We can see this from the slopes of their lines: Xavier's slope is 1.5 and Moises' slope is 1, so the difference is 1.5 - 1 = 0.5.
d) If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance: This is impossible to say from the graph alone. The graph only shows their speed for a few seconds. It is possible that Moises could eventually catch up to Xavier or even surpass him if the graph continues and their speeds change.
Therefore, the only accurate comparison is that Xavier is traveling at 1.5 feet per second.