Biker A's distance traveled per hour

Miles traveled y hours spent biking x
Dots
(1,15)
(2,30)
(3,45)

Biker B's Distance Traveled Per Hour
Hours spent biking, miles traveled
1,12
2, 24
3, 36

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?

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(1 point)

Biker B can cycle faster, 12 mph

Biker A can cycle faster, 12 mph

Biker B can cycle faster, 15 mph

Biker A can cycle faster, 15 mph

1 answer

To determine which biker can cycle faster, we need to calculate their speeds in miles per hour (mph).

For Biker A:

  • From the provided data points:
    • (1, 15): 1 hour = 15 miles → speed = 15 mph
    • (2, 30): 2 hours = 30 miles → speed = 15 mph
    • (3, 45): 3 hours = 45 miles → speed = 15 mph

Biker A's speed is consistently 15 mph.

For Biker B:

  • From the provided data points:
    • (1, 12): 1 hour = 12 miles → speed = 12 mph
    • (2, 24): 2 hours = 24 miles → speed = 12 mph
    • (3, 36): 3 hours = 36 miles → speed = 12 mph

Biker B's speed is consistently 12 mph.

Comparing the two speeds:

  • Biker A: 15 mph
  • Biker B: 12 mph

Thus, Biker A can cycle faster at 15 mph.

The correct answer is: Biker A can cycle faster, 15 mph.