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

1 answer

To determine which biker can cycle faster, we need to calculate the average speed for both bikers using the data provided.

Biker A:

  • Assuming based on the responses that Biker A's average speed is 15 mph. (This seems to be information from the graph that we cannot see)

Biker B:

  • From the table, we can calculate the average speed using the formula:

    \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

For Biker B:

  • After 1 hour: 12 miles -> 12 mph
  • After 2 hours: 24 miles -> 12 mph
  • After 3 hours: 36 miles -> 12 mph

Biker B's speed for all hours is 12 mph.

Conclusion: Biker A's average speed is 15 mph, while Biker B's average speed is 12 mph. Therefore, the correct response is:

Biker A can cycle faster, 15 mph.

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