A herd of 21 white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to 210 A 1+ 9e-0.6t where A is the number of deer expected in the herd after t years. (a) Determine the number of deer, rounded to a whole number, after 2 years: (b) Determine the carrying capacity, rounded to a whole number: (c) Determine the number of years, rounded to a whole number, for the herd to grow to 50 deer?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 12PFA
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A herd of 21 white-tailed deer is introduced to a coastal island where there had been no deer before.
Their population is predicted to increase according to
210
A =
1+ 9e-0.6t
where A is the number of deer expected in the herd after t years.
(a) Determine the number of deer, rounded to a whole number, after 2 years:
(b) Determine the carrying capacity, rounded to a whole number:
(c) Determine the number of years, rounded to a whole number, for the herd to grow to 50 deer?
years.
Transcribed Image Text:A herd of 21 white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to 210 A = 1+ 9e-0.6t where A is the number of deer expected in the herd after t years. (a) Determine the number of deer, rounded to a whole number, after 2 years: (b) Determine the carrying capacity, rounded to a whole number: (c) Determine the number of years, rounded to a whole number, for the herd to grow to 50 deer? years.
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