Use the image to answer the question.

Question

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, 12 mph
Biker A can cycle faster, 12 mph

Biker A can cycle faster, 15 mph
Biker A can cycle faster, 15 mph
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Answer 1

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

Biker A:

• From the graph, we can see:
  • At 1 hour: 15 miles
  • At 2 hours: 30 miles
  • At 3 hours: 45 miles

To determine the speed for Biker A:

• Speed = Distance / Time
• Speed for Biker A = 15 miles / 1 hour = 15 mph

Biker B:

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

To determine the speed for Biker B:

• Speed for Biker B = 12 miles / 1 hour = 12 mph

Conclusion: Biker A rides faster at 15 mph compared to Biker B at 12 mph.

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