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).

This table shows the number of miles Biker B traveled based on the hours spent biking.

Biker B's Distance Traveled Per Hour

Hours spent biking
1
2
3
Miles Traveled
12
24
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?

Biker B can cycle faster, 15 mph
Biker A can cycle faster, 15 mph
Biker B can cycle faster, 12 mph
A can cycle faster, 12 mph

Answer 1

To determine which biker can cycle faster, we can calculate the average speed for each biker using the formula:

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

For Biker A, we can observe the following from the graph:
- After 1 hour: 15 miles
- After 2 hours: 30 miles
- After 3 hours: 45 miles

From this, we can see that Biker A travels 15 miles every hour.

For Biker B, the table shows:
- After 1 hour: 12 miles
- After 2 hours: 24 miles
- After 3 hours: 36 miles

For Biker B, the average speed is 12 miles every hour.

Now we can summarize the average speeds:

- Biker A: 15 mph
- Biker B: 12 mph

Based on this information, **Biker A can cycle faster at 15 mph**.

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