Question

the table shows the length of the tree that marge measured over an 11 - month period.
which statement can be supported by the information in the table?
the tree measured at height each month during the entire 11 - month period
the tree increased in height each month during the entire 11 - month period
the tree increased in height each month until the time period between month 9 and month 11
the tree decreased in height each month until the time period between month 9 and month 11

Explanation:

Step1: Analyze each option

• Option A:
• Check the height each month. In month 1: \(h = 1.4\), month 2: \(h=1.5\), month 3: \(h = 1.7\), month 4: \(h=2.1\), month 5: \(h = 2.5\), month 6: \(h=2.7\), month 7: \(h=3.0\), month 8: \(h = 3.2\), month 9: \(h=3.0\), month 10: \(h=2.9\), month 11: \(h=3.0\). The height does not increase each month. For example, from month 8 to month 9, \(3.2>3.0\).
• Option B:
• From month 1 to month 8, the height is increasing (\(1.4<1.5<1.7<2.1<2.5<2.7<3.0<3.2\)), but from month 8 to month 9 (\(3.2 > 3.0\)), it is not increasing each month in the 11 - month period.
• Option C:
• From month 1 to month 8, the height is increasing (\(1.4<1.5<1.7<2.1<2.5<2.7<3.0<3.2\)), and from month 9 to month 11 (\(3.0<2.9<3.0\)), it is not increasing.
• Option D:
• Month 8: \(h = 3.2\), month 9: \(h=3.0\) (\(3.2>3.0\)), month 10: \(h=2.9\) (\(3.0 > 2.9\)), month 11: \(h=3.0\) (\(2.9<3.0\)). The height decreased from month 8 to month 9 and month 10, and then increased from month 10 to month 11.

Answer:

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