To determine how Myra's distance changes as time increases, let's analyze the data given in the table:
[tex]\[
\begin{tabular}{|c|c|}
\hline
\text{Time (minutes)} & \text{Distance (miles)} \\
\hline
0 & 0.0 \\
\hline
2 & 0.4 \\
\hline
4 & 0.8 \\
\hline
6 & 1.2 \\
\hline
8 & 1.6 \\
\hline
\end{tabular}
\][/tex]
We will look at the increment of distances over each time interval:
1. From 0 minutes to 2 minutes, the distance increases from 0.0 miles to 0.4 miles.
[tex]\[
0.4 - 0.0 = 0.4 \text{ miles}
\][/tex]
2. From 2 minutes to 4 minutes, the distance increases from 0.4 miles to 0.8 miles.
[tex]\[
0.8 - 0.4 = 0.4 \text{ miles}
\][/tex]
3. From 4 minutes to 6 minutes, the distance increases from 0.8 miles to 1.2 miles.
[tex]\[
1.2 - 0.8 = 0.4 \text{ miles}
\][/tex]
4. From 6 minutes to 8 minutes, the distance increases from 1.2 miles to 1.6 miles.
[tex]\[
1.6 - 1.2 = 0.4 \text{ miles}
\][/tex]
We calculated the increments:
[tex]\[
[0.4, 0.4, 0.3999999999999999, 0.40000000000000013]
\][/tex]
Next, we need to check if the increments are consistent and positive:
- First increment: 0.4
- Second increment: 0.4
- Third increment: approximately 0.4
- Fourth increment: approximately 0.4
Even though there are very slight deviations due to rounding errors in the increments (0.3999999999999999 and 0.40000000000000013), they are close enough to 0.4 to be considered consistent in practical terms.
Since these increments are both positive and roughly equal, we conclude that Myra's distance is consistently increasing over time. Thus, we describe Myra's distance as time increases as:
increasing
