Help Please!!!! (6 pts) Based on data about the growth of a variety of ornamenta

Question

Help Please!!!!

(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) = 6.108 ln(t) + 6.099, where t = 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 3 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

(b) At age 12 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

Explanation / Answer

  h(t) = 6.108 ln(t) + 6.099, where  t = age of tree in years and h (t) = height of tree, in feet.   

a) t=3yrs h(3) =6.108ln(3) +6.099 =12.809 = 13 feet height of tree

b) t= 12yrs ; h(12) = 6.108ln(12) + 6.099 =21.27 = 21 feet of tree

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