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Two bikers track how many miles they traveled for each hour they spent biking. Biker A's distance traveled is shown in the graph above. Biker B's distance traveled is shown in the table above. Using the data above, which Biker can cycle faster? How fast were they traveling?

(1 point)
• Biker A can cycle faster, 15 mph
• Biker B can cycle faster, 12 mph
• Biker A can cycle faster, 12 mph
• Biker B can cycle faster, 15 mph

Biker A
0,0 1,15 2,30 3,45

biker B

1 l 12
2 l 24
3 l 36

1 answer

To determine which biker cycled faster, we need to calculate the speed of both bikers based on the data provided.

Biker A:

From the graph, we have the following distance traveled in miles:

  • At 0 hours: 0 miles
  • At 1 hour: 15 miles
  • At 2 hours: 30 miles
  • At 3 hours: 45 miles

To calculate Biker A's speed, we can use the distances traveled:

  • From 0 to 1 hour: 15 miles, speed = 15 mph
  • From 1 to 2 hours: 30 - 15 = 15 miles, speed = 15 mph
  • From 2 to 3 hours: 45 - 30 = 15 miles, speed = 15 mph

Biker A's speed is consistently 15 mph.

Biker B:

From the table, we have the following distances traveled in miles:

  • At 1 hour: 12 miles
  • At 2 hours: 24 miles
  • At 3 hours: 36 miles

To calculate Biker B's speed, we use the distances:

  • From 1 to 2 hours: 24 - 12 = 12 miles, speed = 12 mph
  • From 2 to 3 hours: 36 - 24 = 12 miles, speed = 12 mph

Biker B's speed is consistently 12 mph.

Conclusion:

Biker A can cycle faster at 15 mph, while Biker B cycles at 12 mph. Therefore, the correct answer is:

• Biker A can cycle faster, 15 mph.