Question

Two bikers track how many miles they traveled for each hour they spent biking. Bilker A’s distance traveled is shown in the graph above. Bikers B’s distance traveled is shown in the table above. Using the data above, which Biker can cycle faster? How fast were they traveling?

Answer 1

To determine which biker is traveling faster, we need to analyze the data provided for both Biker A and Biker B.

1. **Biker A**: If you have a graph, the speed can be determined by finding the slope of the distance vs. time graph. Speed is calculated as:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
The slope can show the speed directly. For example, if the graph shows that Biker A traveled 15 miles in 1 hour, then their speed is 15 miles per hour. You would look at different intervals of the graph to see if the speed changes and identify the maximum speed.

2. **Biker B**: If you have a table, the same calculation applies. For each hour (or any time interval), you can calculate the speed by dividing the distance traveled by the time taken during those intervals. For instance, if Biker B traveled 20 miles in 2 hours, then:
\[
\text{Speed} = \frac{20 \text{ miles}}{2 \text{ hours}} = 10 \text{ miles per hour}
\]
Check through all the data points in the table.

By comparing the calculated speeds from both Biker A and Biker B, you can determine which biker is traveling faster based on the highest average speed calculated from their respective data.

If you can provide the specific distances or speed data from the graph and table, I could help you calculate and compare the speeds directly.