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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).

1 answer

To determine who won the race and by how much, we need to compare the final distances covered by each biker at the same time point.

Student 1's distances at their respective times:

  • At 4 seconds: 40 meters
  • At 6 seconds: 60 meters
  • At 8 seconds: 80 meters
  • At 10 seconds: 100 meters

Student 2's distances at their respective times (based on the graph points):

  • At 4 seconds: 42 meters
  • At 6 seconds: 63 meters
  • At 8 seconds: 84 meters
  • At 10 seconds: 105 meters

Now, let's look at the distance traveled by both bikers at 10 seconds:

  • Student 1: 100 meters
  • Student 2: 105 meters

Conclusion:

  • Student 2 won the race by 5 meters (since 105 - 100 = 5).

So, the answer is: Student 2 won the race by about 5 meters.