To determine how Myra's distance changes as time increases, we analyze the distance she has run at different time intervals. We will examine the differences between the distances at consecutive time points to observe if there's any pattern.
Here's the data given:
[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]
Let's look at the differences between consecutive distances:
1. Distance at 2 minutes - Distance at 0 minutes:
[tex]\[
0.4 - 0.0 = 0.4
\][/tex]
2. Distance at 4 minutes - Distance at 2 minutes:
[tex]\[
0.8 - 0.4 = 0.4
\][/tex]
3. Distance at 6 minutes - Distance at 4 minutes:
[tex]\[
1.2 - 0.8 = 0.4
\][/tex]
4. Distance at 8 minutes - Distance at 6 minutes:
[tex]\[
1.6 - 1.2 = 0.4
\][/tex]
In each interval, the distance has increased by 0.4 miles. This consistent positive difference indicates that Myra's distance is continuously increasing as time progresses.
Therefore, the description that fits Myra's distance as time increases is:
increasing
