To determine which statement can be supported by the information in the table, let's examine the height changes of the tree over the 11-month period. Here is a breakdown of the heights and the intervals between the months:
- 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
Let's analyze the changes in height between these months:
1. From Month 1 to Month 3: [tex]\(1.5 - 1.4 = 0.1\)[/tex] ft increase
2. From Month 3 to Month 5: [tex]\(2.1 - 1.5 = 0.6\)[/tex] ft increase
3. From Month 5 to Month 7: [tex]\(2.7 - 2.1 = 0.6\)[/tex] ft increase
4. From Month 7 to Month 9: [tex]\(3.0 - 2.7 = 0.3\)[/tex] ft increase
5. From Month 9 to Month 11: [tex]\(1.8 - 3.0 = -1.2\)[/tex] ft decrease
Now, let’s determine which statement can be supported:
- The tree increased in height each month during the entire 11-month period.
- This is incorrect because the height decreased from Month 9 to Month 11.
- The tree decreased in height each month during the entire 11-month period.
- This is incorrect because the height increased in the periods from Month 1 to Month 9.
- The tree increased in height each month until the time period between month 9 and month 11.
- This is correct because the tree consistently increased in height from Month 1 to Month 9, but then decreased from Month 9 to Month 11.
- The tree decreased in height each month until the time period between month 9 and month 11.
- This is incorrect because the tree increased in height each month from Month 1 to Month 9 before decreasing.
Based on this analysis, the 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.
This statement best matches the observed data. The correct answer is "The tree increased in height each month until the time period between month 9 and month 11." This matches the given conditions and observations from the table.
