Let's carefully examine the height of the tree over the given time period and analyze the statements provided.
The heights of the tree at different months are as follows:
- Month 1: 1.4
- Month 3: 1.5
- Month 6: 2.1
- Month 9: 2.7
- Month 11: 1.8
First, let's determine if the tree consistently increased in height throughout the entire 11-month period.
1. Check if the tree increased between each observation:
- From Month 1 (1.4) to Month 3 (1.5): 1.4 < 1.5 (True)
- From Month 3 (1.5) to Month 6 (2.1): 1.5 < 2.1 (True)
- From Month 6 (2.1) to Month 9 (2.7): 2.1 < 2.7 (True)
- From Month 9 (2.7) to Month 11 (1.8): 2.7 < 1.8 (False)
Since the height decreased from Month 9 to Month 11, the statement "The tree increased in height each month during the entire 11-month period" is not supported.
Next, let's determine if the tree consistently decreased in height throughout the entire 11-month period.
2. Check if the tree decreased between each observation:
- From Month 1 (1.4) to Month 3 (1.5): 1.4 > 1.5 (False)
- From Month 3 (1.5) to Month 6 (2.1): 1.5 > 2.1 (False)
- From Month 6 (2.1) to Month 9 (2.7): 2.1 > 2.7 (False)
- From Month 9 (2.7) to Month 11 (1.8): 2.7 > 1.8 (True)
Since the height did not consistently decrease between each observation, the statement "The tree decreased in height each month during the entire 11-month period" is also not supported.
Now, let's determine if the tree increased in height each month until the period between Month 9 and Month 11.
3. Check if the tree increased in height from Month 1 to Month 9:
- From Month 1 (1.4) to Month 3 (1.5): 1.4 < 1.5 (True)
- From Month 3 (1.5) to Month 6 (2.1): 1.5 < 2.1 (True)
- From Month 6 (2.1) to Month 9 (2.7): 2.1 < 2.7 (True)
Since the tree increased in height from Month 1 to Month 9 and then decreased from Month 9 to Month 11, the statement "The tree increased in height each month until the time period between month 9 and month 11" is supported.
Lastly, let's determine if the tree decreased in height each month until the period between Month 9 and Month 11.
4. Check if the tree decreased in height from Month 1 to Month 9:
- From Month 1 (1.4) to Month 3 (1.5): 1.4 > 1.5 (False)
- From Month 3 (1.5) to Month 6 (2.1): 1.5 > 2.1 (False)
- From Month 6 (2.1) to Month 9 (2.7): 2.1 > 2.7 (False)
Since the heights did not consistently decrease between Month 1 and Month 9, the statement "The tree decreased in height each month until the time period between month 9 and month 11" is not supported.
In conclusion, the statement that is 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."
