
Concept explainers
The age of a tree t (in yr) and its corresponding height
Age of Tree (yr) t | Height (ft)
|
---|---|
1 | 5 |
2 | 8.3 |
3 | 11.6 |
4 | 14.6 |
5 | 15.4 |
6 | 16.5 |
7 | 17.5 |
8 | 18.3 |
9 | 19 |
10 | 19.4 |
11 | 19.7 |
12 | 20 |
a. Write a model of the form
b. Use the model to predict the age of a tree if it is 25 ft high. Round to nearest year.
c. Is it reasonable to assume that this logarithmic trend will continue indefinitely? Why or why not?

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