Compare Proportional Relationships Quick Check

Question

1 of 51 of 5 Items
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 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 B can cycle faster, 12 mph
Biker B can cycle faster, 12 mph

Biker A can cycle faster, 12 mph

Answer 1

To determine which biker traveled faster, we need to analyze the data provided for both bikers.

For Biker A, based on the graph:

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

From this, we can see that Biker A travels:

• 15 miles in 1 hour, which implies a speed of 15 miles per hour (mph).

For Biker B, based on the table:

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

From this, we can see that Biker B travels:

• 12 miles in 1 hour, which implies a speed of 12 miles per hour (mph).

Now we can compare the speeds:

• Biker A: 15 mph
• Biker B: 12 mph

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

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