The height (in feet) of a certain kind of tree is approximated by h(t) = 80/(1+120e^(?0.28*t)) where t is the age of the tree in years. Estimate the age of a 40-ft tree. (Round your answer to one decimal place.)

ghettoking6q

ghettoking6q

Answered question

2022-08-05

The height (in feet) of a certain kind of tree is approximated by
h(t) = 80/(1+120e^(?0.28*t))
where t is the age of the tree in years. Estimate the age of a 40-ft tree. (Round your answer to one decimal place.)

Answer & Explanation

Angel Burton

Angel Burton

Beginner2022-08-06Added 12 answers

h(t) = 80/(1+120e^(?0.28*t))
40 = 80 / (1+120e^(?0.28*t))
=> (1+120e^(?0.28*t)) = 2
120e^(?0.28*t) = 1
e^(?0.28*t) = 1/120
applying ln on both sides
- 0.28 t = -4.787
t = 17.096 years

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