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 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 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 need to find the speed of each biker by calculating the miles per hour (mph) based on the data provided.

Biker A:

• From the graph, we can see:
  • After 1 hour: 15 miles
  • After 2 hours: 30 miles
  • After 3 hours: 45 miles

To find the speed:

• Biker A's speed can be calculated as follows:
  • Speed (mph) = Distance (miles) / Time (hours)
  • After 1 hour: 15 miles / 1 hour = 15 mph

Biker B:

• From the table, we have:
  • After 1 hour: 12 miles
  • After 2 hours: 24 miles
  • After 3 hours: 36 miles

Calculating the speed:

• Biker B's speed can be calculated similarly:
  • After 1 hour: 12 miles / 1 hour = 12 mph

Now, comparing the two speeds:

• Biker A: 15 mph
• Biker B: 12 mph

Based on this information, Biker A can cycle faster at a speed of 15 mph.

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