Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.

To compare the rates at which Mia and Alexa traveled, we need to calculate the slopes of both the line representing Alexa’s graph and the line that can be derived from Mia's table.

**For Alexa's Line:**
The coordinates provided on the graph are (4, 3) and (8, 6).
To find the slope (rate) for Alexa:
\[
\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{6 - 3}{8 - 4} = \frac{3}{4}
\]

**For Mia's Table:**
Mia's distances at different times can be used to calculate the slope. We can use the data points:
- For the first two entries (Time: 10, Distance: 5) and (Time: 18, Distance: 9):

\[
\text{slope} = \frac{9 - 5}{18 - 10} = \frac{4}{8} = \frac{1}{2}
\]

- For the second and third entries (Time: 18, Distance: 9) and (Time: 20, Distance: 10):

\[
\text{slope} = \frac{10 - 9}{20 - 18} = \frac{1}{2}
\]

- Lastly, we can look at the last two entries (Time: 20, Distance: 10) and (Time: 26, Distance: 13):

\[
\text{slope} = \frac{13 - 10}{26 - 20} = \frac{3}{6} = \frac{1}{2}
\]

In all cases, Mia's calculated slopes average out to approximately \( \frac{1}{2} \).

**Comparing the Rates:**
- Alexa's average rate is \( \frac{3}{4} \) (which is equal to 0.75).
- Mia's average rate is \( \frac{1}{2} \) (which is equal to 0.5).

Since \( \frac{3}{4} \) (0.75) is greater than \( \frac{1}{2} \) (0.5), Alexa traveled at a faster rate.

**Conclusion:**
The accurate comparison statement is:
"Alexa traveled at a faster rate because the slope of her line is Four-thirds, which is greater than the slope of the line described by the data in Mia’s table."

However, note that there was an error in the original options as the correct slope for Alexa's speed is \( \frac{3}{4} \) and not \( \frac{4}{3} \). Thus, the most accurate conclusion based on the given information should read something akin to "Alexa traveled at a faster rate because the slope of her line is \( \frac{3}{4} \), which is greater than the slope of the line described by the data in Mia's table."

Make sure to acknowledge that option might be phrased incorrectly.