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

| | Growth of Margo's Tree |
| :---- | :----------------------- |
| Month | Height of Tree (ft) |
| 1 | 1.4 |
| 3 | 1.5 |
| 5 | 2.1 |
| 7 | 2.7 |
| 9 | 3.0 |
| 11 | 1.8 |

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.

Calculate the height differences between consecutive months.
Analyze the height differences to determine if the tree's height increased or decreased.
Identify the time period when the tree's height increased and when it decreased.
Determine the statement supported by the data: The tree increased in height each month until the time period between month 9 and month 11.

Explanation

Analyzing the Problem We are given a table showing the height of a tree over an 11-month period. Our goal is to determine which statement about the tree's growth is supported by the data. To do this, we will analyze the changes in height between consecutive months.

Calculating Height Differences First, let's calculate the difference in height between consecutive months using the data provided:


Month 3 - Month 1: 1.5 − 1.4 = 0.1 ft Month 5 - Month 3: 2.1 − 1.5 = 0.6 ft Month 7 - Month 5: 2.7 − 2.1 = 0.6 ft Month 9 - Month 7: 3.0 − 2.7 = 0.3 ft Month 11 - Month 9: 1.8 − 3.0 = − 1.2 ft

Analyzing the Differences Now, let's analyze these differences:

From month 1 to month 3, the height increased by 0.1 ft. From month 3 to month 5, the height increased by 0.6 ft. From month 5 to month 7, the height increased by 0.6 ft. From month 7 to month 9, the height increased by 0.3 ft. From month 9 to month 11, the height decreased by 1.2 ft.

Determining the Correct Statement Based on this analysis, we can see that the tree increased in height from month 1 to month 9, but then decreased in height from month 9 to month 11. Therefore, 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.'

Examples
Understanding how things grow or change over time is useful in many real-life situations. For example, if you're tracking the growth of a plant in your garden, you can use this kind of data to see when it's growing fastest and when it might need more care. Similarly, businesses track their sales over time to understand when they're doing well and when they might need to make changes to improve. This type of analysis helps in making informed decisions based on observed trends.

Answered by GinnyAnswer | 2025-07-08