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).

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
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Answer 1

To determine which biker can cycle faster, we need to calculate their speed in miles per hour (mph) based on the data provided.

For Biker A: From the graph:

• At 1 hour, Biker A traveled 15 miles.
• At 2 hours, Biker A traveled 30 miles.
• At 3 hours, Biker A traveled 45 miles.

Biker A's speed is constant:

• Speed = Distance / Time
• For 1 hour: Speed = 15 miles / 1 hour = 15 mph
• For 2 hours: Speed = 30 miles / 2 hours = 15 mph
• For 3 hours: Speed = 45 miles / 3 hours = 15 mph

Biker A cycles at a constant speed of 15 mph.

For Biker B: From the table:

• At 1 hour, Biker B traveled 12 miles.
• At 2 hours, Biker B traveled 24 miles.
• At 3 hours, Biker B traveled 36 miles.

Biker B's speed is also constant:

• For 1 hour: Speed = 12 miles / 1 hour = 12 mph
• For 2 hours: Speed = 24 miles / 2 hours = 12 mph
• For 3 hours: Speed = 36 miles / 3 hours = 12 mph

Biker B cycles at a constant speed of 12 mph.

Conclusion: Biker A can cycle faster at a speed of 15 mph, while Biker B cycles at 12 mph.

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