To analyze Myra's distance as time increases, let's examine the table of times and corresponding distances she ran:
[tex]\[
\begin{array}{|c|c|}
\hline \text{Time (minutes)} & \text{Distance (miles)} \\
\hline 0 & 0.0 \\
\hline 2 & 0.4 \\
\hline 4 & 0.8 \\
\hline 6 & 1.2 \\
\hline 8 & 1.6 \\
\hline
\end{array}
\][/tex]
We'll look at how the distance changes as time progresses from one time interval to the next:
1. From 0 to 2 minutes, the distance increases from 0.0 miles to 0.4 miles.
2. From 2 to 4 minutes, the distance increases from 0.4 miles to 0.8 miles.
3. From 4 to 6 minutes, the distance increases from 0.8 miles to 1.2 miles.
4. From 6 to 8 minutes, the distance increases from 1.2 miles to 1.6 miles.
At each time interval, the distance is increasing:
- \( 0.0 \leq 0.4 \)
- \( 0.4 \leq 0.8 \)
- \( 0.8 \leq 1.2 \)
- \( 1.2 \leq 1.6 \)
Since the distance is always getting larger as time increases, it demonstrates a pattern of continuous increase.
Therefore, the correct description of Myra's distance as time increases is increasing.
