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A line graph is titled as “Biker A’s Distance Traveled”. The x-axis is labeled “Hours spent biking”, ranging from 0 to 4, in increments of 1. The y-axis is labeled “Miles Traveled”. A solid line joins four plotted points. The coordinates of the plotted points are as follows: (0, 0), (1, 15), (2, 30), (3, 45).

This table shows the number of miles Biker B traveled based on the hours spent biking.
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?


(1 point)
Responses

Biker B can cycle faster, 12 mph
Biker B can cycle faster, 12 mph

Biker B can cycle faster, 15 mph
Biker B can cycle faster, 15 mph

Biker A can cycle faster, 15 mph
Biker A can cycle faster, 15 mph

Biker A can cycle faster, 12 mph
Biker A can cycle faster, 12 mph

1 answer

To determine which biker can cycle faster, we can calculate the average speed (miles per hour) for both bikers.

Biker A's average speed:

  • From the graph:
    • At 1 hour: 15 miles
    • At 2 hours: 30 miles
    • At 3 hours: 45 miles
  • The average speed for Biker A can be calculated as follows:
    • Distance at 1 hour = 15 miles
    • Speed = Distance / Time = 15 miles / 1 hour = 15 mph

Biker B's average speed:

  • From the table:
    • At 1 hour: 12 miles
    • At 2 hours: 24 miles
    • At 3 hours: 36 miles
  • The average speed for Biker B can be calculated similarly:
    • Distance at 1 hour = 12 miles
    • Speed = Distance / Time = 12 miles / 1 hour = 12 mph

Comparing the two speeds:

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

Conclusion: Biker A can cycle faster at 15 mph.

Correct response: Biker A can cycle faster, 15 mph.