Difficult time trying to solve

Question

Based on data about the growth of a variety of ornamental cherry trees, the following logarithmic model about these trees was determined:
h(t) = 5.5 ln(t) + 8.105, 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 2 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?




(b) At age 8 years, how tall is this type of ornamental cherry tree, to the nearest tenth of a foot?

Answer 1

h(t) = 5.5 ln(t) + 8.105

 

Just plug in t in years and get h in feet.

 

(a) 

 

h(2) = [5.5 ln(2) + 8.105] ft ≅ 11.9 ft

 

(b)

 

h(8) = [5.5 ln(8) + 8.105] ft ≅ 19.5 ft