Final answer:
The tree has been growing for approximately 4.7 months.
Step-by-step explanation:
To find out how many months the tree has been growing, we need to find the difference between the current height of the tree and the initial height of the tree, and then divide that difference by the monthly growth rate.
Initial height of the tree: 2.82 m
Growth rate per month: 0.6 m
Let's use the formula:
Number of months = (Current height - Initial height) / Growth rate
Number of months = (2.82 - 0) / 0.6
Number of months = 2.82 / 0.6
Number of months ≈ 4.7
Therefore, for approximately 4.7 months, the tree has been growing.