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, 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 need to calculate the rates for both Biker A and Biker B based on the provided data.

Biker A:

From the graph:

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

To find the speed:

• For 1 hour: 15 miles = 15 mph
• For 2 hours: 30 miles = 15 mph
• For 3 hours: 45 miles = 15 mph

Biker A consistently travels at 15 mph.

Biker B:

From the table:

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

To find the speed:

• For 1 hour: 12 miles = 12 mph
• For 2 hours: 24 miles = 12 mph
• For 3 hours: 36 miles = 12 mph

Biker B consistently travels at 12 mph.

Conclusion:

Biker A can cycle faster at a speed of 15 mph, compared to Biker B's speed of 12 mph.

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