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The table shows the height of the tree that Margo planted over an 11-month period.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Growth of Margo's Tree } \\
\hline Month & 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{tabular}

Which statement can be supported by the information in the table?

A. The tree increased in height each month during the entire 11-month period.
B. The tree decreased in height each month during the entire 11-month period.
C. The tree increased in height each month until the time period between month 9 and month 11.
D. The tree decreased in height each month until the time period between month 9 and month 11.



Answer :

GinnyAnswer
Let's analyze the data provided in the table step-by-step to determine which statement is supported by the information.

### Height Data for Each Month
- Month 1: 1.4 feet
- Month 3: 1.5 feet
- Month 5: 2.1 feet
- Month 7: 2.7 feet
- Month 9: 3.0 feet
- Month 11: 1.8 feet

### Analysis

1. The tree increased in height each month during the entire 11-month period:
- From Month 1 to Month 3, the height increased from 1.4 feet to 1.5 feet.
- From Month 3 to Month 5, the height increased from 1.5 feet to 2.1 feet.
- From Month 5 to Month 7, the height increased from 2.1 feet to 2.7 feet.
- From Month 7 to Month 9, the height increased from 2.7 feet to 3.0 feet.
- However, from Month 9 to Month 11, the height decreased from 3.0 feet to 1.8 feet.

Since there was a decrease in height from Month 9 to Month 11, this statement is not supported.

2. The tree decreased in height each month during the entire 11-month period:
- This statement would require the tree to consistently decrease in height every month over the 11-month period.
- From Month 1 to Month 9, the tree's height consistently increased, not decreased.

Hence, this statement is not supported.

3. The tree increased in height each month until the time period between month 9 and month 11:
- From Month 1 to Month 9, the height consistently increased as follows:
- Month 1 to Month 3: [tex]\(1.4 \rightarrow 1.5\)[/tex]
- Month 3 to Month 5: [tex]\(1.5 \rightarrow 2.1\)[/tex]
- Month 5 to Month 7: [tex]\(2.1 \rightarrow 2.7\)[/tex]
- Month 7 to Month 9: [tex]\(2.7 \rightarrow 3.0\)[/tex]
- Between Month 9 and Month 11, the height decreased from 3.0 feet to 1.8 feet.

This statement is clearly supported by the information provided.

4. The tree decreased in height each month until the time period between month 9 and month 11:
- As previously analyzed, the height of the tree actually increased from Month 1 to Month 9.

Therefore, this statement is not supported.

### Conclusion
The only statement that can be supported by the information in the table is:

The tree increased in height each month until the time period between month 9 and month 11.

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