Use the image to answer the question. 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

1 answer

To determine which biker is traveling faster and at what speed, we will analyze the data provided.

Biker B: From the table:

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

We can calculate Biker B's speed:

  • After 1 hour: \( \text{Speed} = \frac{12 \text{ miles}}{1 \text{ hour}} = 12 \text{ mph} \)
  • After 2 hours: \( \text{Speed} = \frac{24 \text{ miles}}{2 \text{ hours}} = 12 \text{ mph} \)
  • After 3 hours: \( \text{Speed} = \frac{36 \text{ miles}}{3 \text{ hours}} = 12 \text{ mph} \)

Biker B consistently travels at 12 mph.

Biker A: The speed of Biker A needs to be interpreted from the graph mentioned (not shown here). If we assume from the question that Biker A's speed is listed as either 12 mph or 15 mph:

To compare the speeds:

  • If Biker A's speed is 12 mph, then both bikers travel at the same speed (12 mph).
  • If Biker A's speed is 15 mph, then Biker A is faster.

From the choices provided, given that there are options suggesting Biker B is faster at both 12 mph and 15 mph, it's likely that the correct conclusion depends on the speed assigned to Biker A based on the graph.

Assuming Biker A's speed is not greater than 12 mph, the correct response would be: "Biker B can cycle faster, 12 mph."

If Biker A's speed is 15 mph, then the correct response would be: "Biker A can cycle faster, 15 mph."

Without the visual data of Biker A's distances in the graph, we conclude that the answer could likely be one of the options outlining that Biker B can cycle faster at 12 mph. If Biker A's distance confirms a speed of 15 mph, then Biker A would be the faster cyclist.