A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by the following. N =  35.5 0.27 + 0.76t foxes (a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.   (b) Make a graph of N versus t.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by the following.

N = 
35.5
0.27 + 0.76t
 foxes
(a) How many foxes were introduced into the protected area? (Round your answer to the nearest whole number.
 
(b) Make a graph of N versus t.
 
 
Explain in words how the population of foxes increases with time.
 
(c) When will the fox population reach 95 individuals? (Round your answer to two decimal places.)
The fox population will reach 95 individuals after _________ years.
 
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(c) When will the fox population reach 100 individuals? (Round your answer to two decimal places.

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