To determine which statement can be supported by the information given in the table, we will analyze the growth of the tree by looking at the changes in height over each period. Here's the summarized table:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Month} & \text{Height of Tree (ft)} \\
\hline
1 & 1.4 \\
\hline
3 & 1.5 \\
\hline
5 & 2.1 \\
\hline
7 & 2.7 \\
\hline
9 & 3.0 \\
\hline
11 & 1.8 \\
\hline
\end{array}
\][/tex]
Now let's take a look at the changes in height between consecutive months:
1. From month 1 to month 3:
- Height change: [tex]\(1.5 - 1.4 = 0.1\)[/tex]
2. From month 3 to month 5:
- Height change: [tex]\(2.1 - 1.5 = 0.6\)[/tex]
3. From month 5 to month 7:
- Height change: [tex]\(2.7 - 2.1 = 0.6\)[/tex]
4. From month 7 to month 9:
- Height change: [tex]\(3.0 - 2.7 = 0.3\)[/tex]
5. From month 9 to month 11:
- Height change: [tex]\(1.8 - 3.0 = -1.2\)[/tex]
Next, let's analyze these changes to determine the correct statement:
- From month 1 to month 9, all height changes are positive: [tex]\(0.1, 0.6, 0.6, 0.3\)[/tex]. This indicates that the tree increased in height each month up until month 9.
- From month 9 to month 11, the height change is negative: [tex]\(-1.2\)[/tex]. This indicates that the tree decreased in height between month 9 and month 11.
Therefore, based on the information provided, the statement that can be supported is:
- The tree increased in height each month until the time period between month 9 and month 11.
Hence, the supported statement is:
The tree increased in height each month until the time period between month 9 and month 11.
