Question

A coordinate plane showing Running. The x-axis shows seconds, the y-axis shows feet. One solid line showing Moises starting at (0, 0) and passing through the points at (1, 5) and (3, 15). One dashed line showing Xavier, starting at (0, 0), and passing through the points at (2, 15) and (4, 30).
The distance, in feet, two boys travel per second on a treadmill is shown to the left. Which comparison is accurate?

Xavier is traveling at 1.5 feet per second.
Moises is going faster than Xavier.
The difference in their rates of change is 1 foot per second.
If both boys remain on the treadmill for 10 minutes, Xavier will have traveled a greater distance.

Answer 1

Compute each boy’s speed (slope = feet / seconds).

Moises: slope from (0,0) to (1,5) = 5/1 = 5 ft/s.
Xavier: slope from (0,0) to (2,15) = 15/2 = 7.5 ft/s.

Now check the statements:
- Xavier is traveling at 1.5 ft/s — false (he is 7.5 ft/s).
- Moises is going faster than Xavier — false (5 < 7.5).
- The difference in their rates is 1 ft/s — false (7.5 − 5 = 2.5 ft/s).
- If both remain for 10 minutes (600 s), Xavier will have traveled more: Xavier = 7.5·600 = 4500 ft, Moises = 5·600 = 3000 ft — true.

So only the fourth statement is accurate.