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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).

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

1 answer

To determine which biker can cycle faster and at what speed, we will calculate the average speed for both bikers.

Biker A:

  • Biker A's distances at each hour are:
    • 1 hour: 15 miles
    • 2 hours: 30 miles
    • 3 hours: 45 miles

To calculate the average speed for Biker A:

  • After 1 hour: 15 miles
  • After 2 hours: 30 miles (Speed = 30 miles / 2 hours = 15 mph)
  • After 3 hours: 45 miles (Speed = 45 miles / 3 hours = 15 mph)

Thus, Biker A's average speed is 15 mph.

Biker B:

  • Biker B's distances are:
    • 1 hour: 12 miles
    • 2 hours: 24 miles
    • 3 hours: 36 miles

To calculate the average speed for Biker B:

  • After 1 hour: 12 miles
  • After 2 hours: 24 miles (Speed = 24 miles / 2 hours = 12 mph)
  • After 3 hours: 36 miles (Speed = 36 miles / 3 hours = 12 mph)

Thus, Biker B's average speed is 12 mph.

Conclusion: Biker A can cycle faster at a speed of 15 mph.

So, the correct response is: Biker A can cycle faster, 15 mph.