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Question

Compare Proportional Relationships Quick Check
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Question
Use the image to answer the 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
Biker A can cycle faster, 12 mph

Answer 1

To determine which biker can cycle faster, we need to calculate their speeds based on the data provided.

For Biker A:

• From the graph, we can see that Biker A travels 15 miles in 1 hour, 30 miles in 2 hours, and 45 miles in 3 hours.
• This means Biker A's speed is consistent at 15 miles per hour (mph).

For Biker B:

• The table indicates Biker B travels 12 miles in 1 hour, 24 miles in 2 hours, and 36 miles in 3 hours.
• This means Biker B's speed is consistent at 12 miles per hour (mph).

Now, comparing their speeds:

• Biker A: 15 mph
• Biker B: 12 mph

Based on this comparison, Biker A is faster than Biker B.

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