For each year t, the number of trees in Forest A is represented by the function A (t) = 74(1.025). In aneighboring forest, the number of trees in Forest B is represented by the function B (t) = 94(1.029).Assuming the population growth models continue to represent the growth of the forests, which forestwill have a greater number of trees after 20 years? By how many?Round your answer to the nearest tree.Forest Click for Listwill have Numbermore trees.

Answered: Image /qna-images/answer/44723c7e-c086-4108-b1cc-4bee620f987e.jpg

Answered: For each year t, the number of trees in…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 13SE: For the following exercises, consider this scenario: For each year t , the population of a forest of...

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For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2.005 until 2010. In 2005, 12,025 people were afflicted. Find the linear function that models the number of people in?icted with the common cold, C, as a function of the year, t.
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For the following exercises, consider this scenario: For each year t , the population of a forest of trees is represented by the function A(t)=115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)t. (Round answers to the nearest whole number.) Discuss the above results from the previous four exercises. Assuming the population growth models continue to represent the growth of the forests, which forest will have the greater number of trees in the long run? Why? What are some factors that might in?uence the long-term validity of the exponential growth model?
What is the composition of two functions, fg ?
For the following exercises, consider this scenario: For each year t , the population of a forest of trees is represented by the function A(t)=115(1.025)t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)t. (Round answers to the nearest whole number.) Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? By how many?

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