Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h(t) = /3.2t for 0
Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h(t) = /3.2t for 0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section: Chapter Questions
Problem 3PT
Related questions
Question
![Based on empirical data, scientists have determined the following function that
models the height of a certain species of tree:
h (t) = V3.2t for 0 <t < 100,
where h is the height of the tree in feet and tis the age of the tree in years.
Answer the following questions in the text box below. Label your answers a) through
f).
* For parts a), c), e), just write the answer (the value you have computed), you do not
need to type in your work.
a) Compute the average rate of change of h(t) from t = 25 to t= 75.
b) Interpret your answer for a) according to the context of the problem and using
appropriate units.
c) Compute h' (25).
d) Interpret your answer for c) according to the context of the problem and using
appropriate units.
e) Compute h' (75).
f) Interpret your answer for e) according to the context of the problem and using
appropriate units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77f5d0ea-8bed-4e47-a212-a12d0fb91136%2F1c101278-166f-49f1-b572-2e75130223eb%2Fucppt6c_processed.png&w=3840&q=75)
Transcribed Image Text:Based on empirical data, scientists have determined the following function that
models the height of a certain species of tree:
h (t) = V3.2t for 0 <t < 100,
where h is the height of the tree in feet and tis the age of the tree in years.
Answer the following questions in the text box below. Label your answers a) through
f).
* For parts a), c), e), just write the answer (the value you have computed), you do not
need to type in your work.
a) Compute the average rate of change of h(t) from t = 25 to t= 75.
b) Interpret your answer for a) according to the context of the problem and using
appropriate units.
c) Compute h' (25).
d) Interpret your answer for c) according to the context of the problem and using
appropriate units.
e) Compute h' (75).
f) Interpret your answer for e) according to the context of the problem and using
appropriate units.
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