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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 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 B can cycle faster, 12 mph
Biker B 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 their average speeds based on the data provided:

Biker A:

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

Biker A's speed remains consistent at 15 mph.

Biker B:

• Distance traveled: 12 miles in 1 hour
• Speed = 12 miles / 1 hour = 12 mph
• Distance traveled: 24 miles in 2 hours
• Speed = 24 miles / 2 hours = 12 mph
• Distance traveled: 36 miles in 3 hours
• Speed = 36 miles / 3 hours = 12 mph

Biker B's speed also remains consistent at 12 mph.

Comparison:

• Biker A is traveling at 15 mph.
• Biker B is traveling at 12 mph.

Therefore, Biker A can cycle faster at 15 mph.

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