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 :

Let's analyze the height changes of Margo's tree over the given 11-month period step-by-step.

We start with the initial heights as given:

- Month 1: 1.4 ft
- Month 3: 1.5 ft
- Month 5: 2.1 ft
- Month 7: 2.7 ft
- Month 9: 3.0 ft
- Month 11: 1.8 ft

Now, we'll examine how the tree's height changes from one period to the next:

1. From month 1 to month 3:
- Height increases from 1.4 ft to 1.5 ft.
- This is an increase of 0.1 ft.

2. From month 3 to month 5:
- Height increases from 1.5 ft to 2.1 ft.
- This is an increase of 0.6 ft.

3. From month 5 to month 7:
- Height increases from 2.1 ft to 2.7 ft.
- This is an increase of 0.6 ft.

4. From month 7 to month 9:
- Height increases from 2.7 ft to 3.0 ft.
- This is an increase of 0.3 ft.

5. From month 9 to month 11:
- Height decreases from 3.0 ft to 1.8 ft.
- This is a decrease of 1.2 ft.

From our detailed step-by-step analysis, we can conclude that the tree increased in height from month 1 to month 9. However, from month 9 to month 11, the height of the tree decreased.

Therefore, the correct statement 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.