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.
strong>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, 15 mph
Biker A can cycle faster, 15 mph

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

Biker B can cycle faster, 15 mph

Answer 1

To determine which biker cycles faster, we need to calculate the speed of each biker based on the distance they traveled over time.

Biker A:

• Biker A travels:
  • 15 miles in 1 hour
  • 30 miles in 2 hours
  • 45 miles in 3 hours

From the graph, we can see that Biker A's distance traveled is directly proportional to time, indicating a consistent speed. Biker A's speed can be calculated as:

• Speed = Distance / Time
• For the total distance of 45 miles over 3 hours:
  • Speed = 45 miles / 3 hours = 15 mph

Biker B:

From the table:

• Biker B travels:
  • 12 miles in 1 hour
  • 24 miles in 2 hours
  • 36 miles in 3 hours

Biker B's speed can be calculated similarly:

• For the total distance of 36 miles over 3 hours:
  • Speed = 36 miles / 3 hours = 12 mph

Conclusion:

Biker A cycles faster at a speed of 15 mph, while Biker B cycles at 12 mph.

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