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2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined:
2. (6 pts) Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined:
h(t) = 5.105 ln(t) + 6.099,wheret = age of tree in years and h (t) = height of tree, in feet.
(Note that "ln" refers to the natural log function)(explanation optional)
Using the model,
(a) At age 4 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?
(b) At age 11 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?
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