A herd of 16 white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to 128 A = 1+ 7e-0.45t where A is the number of deer expected in the herd after t years. (a) How many deer will be present after 4 years? Round your answer to the nearest whole number. deer (b) What is the carrying capacity for this model? (c) How many years will it take for the herd to grow to 50 deer? Round your answer to the nearest whole number.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A herd of 16 white-tailed deer is introduced to a coastal
island where there had been no deer before. Their
population is predicted to increase according to
128
A =
1 + 7e-0.45t
|
where A is the number of deer expected in the herd aftert
years.
(a) How many deer will be present after 4 years? Round
your answer to the nearest whole number.
deer
(b) What is the carrying capacity for this model?
(c) How many years will it take for the herd to grow to 50
deer? Round your answer to the nearest whole number.
years.
Transcribed Image Text:A herd of 16 white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to 128 A = 1 + 7e-0.45t | where A is the number of deer expected in the herd aftert years. (a) How many deer will be present after 4 years? Round your answer to the nearest whole number. deer (b) What is the carrying capacity for this model? (c) How many years will it take for the herd to grow to 50 deer? Round your answer to the nearest whole number. years.
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