Population growth. The bat population in a certain region has a relative growth rate of 8.3% per year. It is estimated that the population in 2015 was 4,000. (a) Find a function n(t) =n,e en that models the bat population t years after 2015. (b) Use the function from part (a) to estimate the bat population in the year 2020. (c) How long will it take for the bat population to reach 10,000? (Round your answer to the nearest year.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
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Population growth. The bat population in a certain region has a relative growth rate of 8.3% per year. It is estimated that the
population in 2015 was 4,000.
(a) Find a function n(t) =n, ert that models the bat population t years after 2015.
(b) Use the function from part (a) to estimate the bat population in the year 2020.
(c) How long will it take for the bat population to reach 10,000? (Round your answer to the nearest year.)
Transcribed Image Text:Population growth. The bat population in a certain region has a relative growth rate of 8.3% per year. It is estimated that the population in 2015 was 4,000. (a) Find a function n(t) =n, ert that models the bat population t years after 2015. (b) Use the function from part (a) to estimate the bat population in the year 2020. (c) How long will it take for the bat population to reach 10,000? (Round your answer to the nearest year.)
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