To determine which biker is cycling faster, we need to calculate the speed of each biker based on the data provided.
For Biker B: From the table:
- At 1 hour, Biker B traveled 12 miles.
- At 2 hours, Biker B traveled 24 miles.
- At 3 hours, Biker B traveled 36 miles.
Calculating the speed:
- Speed = Distance/Time
1st hour: Speed = 12 miles / 1 hour = 12 mph
2nd hour: Speed = 24 miles / 2 hours = 12 mph
3rd hour: Speed = 36 miles / 3 hours = 12 mph
So, Biker B travels at a constant speed of 12 mph.
For Biker A: As the graph is not available in this text format, we will assume the distance traveled by Biker A is consistent with the comparison. However, if we were to hypothetically consider that Biker A trends upward and reaches, for instance, 30 miles at 2 hours, we'd calculate accordingly to find their speed.
For example (if Biker A travels 30 miles in 2 hours): Speed = 30 miles / 2 hours = 15 mph
Now, let's address the options based on Biker B's calculated speed:
- Biker B can cycle faster, 12 mph.
- Biker B can cycle faster, 15 mph.
- Biker A can cycle faster, 12 mph.
- Biker A can cycle faster, 15 mph.
Since Biker B consistently travels at 12 mph, we can conclude that if Biker A's speed calculation shows any value greater than 12 mph (like 15 mph, for example), then Biker A would cycle faster.
If Biker A's speed was indeed determined to be 15 mph based on the graph, the correct response would be: Biker A can cycle faster, 15 mph.
If the graph indicates that Biker A also travels at exactly 12 mph, then the information we currently have would indicate Biker B travels just as fast.
In the absence of that specific data for Biker A, we can definitively say based on Biker B's data:
The answer is: Biker B can cycle faster, 12 mph (if no additional data for Biker A suggests otherwise).
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