Question

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

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**.