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

Biker B can cycle faster, 15 mph
Biker B can cycle faster, 15 mph

Biker A can cycle faster, 12 mph

Answer 1

To determine which biker can cycle faster, we can compare their average speeds based on the distance traveled per hour.

From the data for Biker A:

• At 1 hour: 15 miles
• At 2 hours: 30 miles
• At 3 hours: 45 miles

The speed of Biker A can be calculated as follows:

• From the graph, Biker A travels 15 miles in the first hour, which means an average speed of 15 mph.

From the data for Biker B:

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

The speed of Biker B can be calculated as follows:

• From the table, Biker B travels 12 miles in the first hour, which means an average speed of 12 mph.

Now comparing the two:

• Biker A: 15 mph
• Biker B: 12 mph

Thus, Biker A can cycle faster at 15 mph.

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