Let's analyze the given table and evaluate the height of the tree over different months to determine which statement can be supported by the information provided.
[tex]\[
\begin{array}{|c|c|}
\hline \multicolumn{2}{|c|}{\text{Growth of Margo's Tree}} \\
\hline \text{Month} & \text{Height of Tree (ft)} \\
\hline 1 & 1.4 \\
\hline 3 & 1.5 \\
\hline 5 & 2.1 \\
\hline 7 & 2.7 \\
\hline 9 & 3.0 \\
\hline 11 & 1.8 \\
\hline
\end{array}
\][/tex]
First, we observe the trend in the heights of the tree:
- From month 1 to month 3: [tex]\( 1.4 \to 1.5 \)[/tex] (increase)
- From month 3 to month 5: [tex]\( 1.5 \to 2.1 \)[/tex] (increase)
- From month 5 to month 7: [tex]\( 2.1 \to 2.7 \)[/tex] (increase)
- From month 7 to month 9: [tex]\( 2.7 \to 3.0 \)[/tex] (increase)
- From month 9 to month 11: [tex]\( 3.0 \to 1.8 \)[/tex] (decrease)
Next, we analyze each statement provided in the question:
1. The tree increased in height each month during the entire 11-month period.
- This statement is not true because the tree decreased in height from month 9 to month 11.
2. The tree decreased in height each month during the entire 11-month period.
- This statement is not true because the tree increased in height from month 1 to month 9.
3. The tree increased in height each month until the time period between month 9 and month 11.
- This statement is true. The tree consistently increased in height from month 1 to month 9 but then decreased from month 9 to month 11.
4. The tree decreased in height each month until the time period between month 9 and month 11.
- This statement is not true because the tree did not decrease in height each month until the time period between month 9 and month 11. It only started to decrease from month 9 to month 11.
Based on the information in the table, the statement that can be supported is:
The tree increased in height each month until the time period between month 9 and month 11.
Therefore, the correct statement is the third one.
