Question

Comparing Linear Relationships
Two bikers rode at a constant speed on a 150-meter track. The data here show each biker’s distance for a certain part of the race. Who won the race and by how much?

Student 1

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 40, 60, 80, 100.


won the race by about
.

Student 2

A graph has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 42), (6, 63), (8, 84) and (10, 105).

Answer 1

Student 2 won.

Student 1: speed = 40/4 = 10 m/s → time to 150 m = 150/10 = 15.0 s.
Student 2: speed = (63−42)/(6−4) = 21/2 = 10.5 m/s → time to 150 m = 150/10.5 ≈ 14.2857 s.

Difference ≈ 15.0 − 14.2857 ≈ 0.714 s, so Student 2 wins by about 0.7 seconds.