4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling time for the population is 28 years. a. Find a function n(t)=n, 2 that models the population t years after 2021. b. Find a function n(t)=ne" that models the population t years after 2021. You may round r to 4 decimal places. c. What is the relative growth rate of the population per year, to the nearest tenth of a t percent? d. To the nearest tenth of a year, how long does it take the population to reach 2 million?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling
time for the population is 28 years.
a. Find a function n(t)=n,2" that models the population t years after 2021.
b. Find a function n(t)= n,e" that models the population t years after 2021. You may round r
to 4 decimal places.
c. What is the relative growth rate of the population per year, to the nearest tenth of a
percent?
d. To the nearest tenth of a year, how long does it take the population to reach 2 million?
%
&
*
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7
8
9
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Transcribed Image Text:R $ 4 Page 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling time for the population is 28 years. a. Find a function n(t)=n,2" that models the population t years after 2021. b. Find a function n(t)= n,e" that models the population t years after 2021. You may round r to 4 decimal places. c. What is the relative growth rate of the population per year, to the nearest tenth of a percent? d. To the nearest tenth of a year, how long does it take the population to reach 2 million? % & * ( 7 8 9 5 6 ) 3 4
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