A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 751 wolves. If the population grows exponentially according to the formula P = Po(1+ r)* (a) Find the growth rate. Round your answer to the nearest tenth of a percent. r = (b) If this trend continues, how many wolves will there be in ten years? wolves (c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your answer to the nearest tenth of a year. years

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A native wolf species has been reintroduced into a national forest. Originally 200 wolves were
transplanted, and after 3 years the population had grown to 751 wolves. If the population grows
exponentially according to the formula P = Po(1 + r)'
(a) Find the growth rate. Round your answer to the nearest tenth of a percent.
r =
(b) If this trend continues, how many wolves will there be in ten years?
wolves
(c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your
answer to the nearest tenth of a year.
years
Transcribed Image Text:A native wolf species has been reintroduced into a national forest. Originally 200 wolves were transplanted, and after 3 years the population had grown to 751 wolves. If the population grows exponentially according to the formula P = Po(1 + r)' (a) Find the growth rate. Round your answer to the nearest tenth of a percent. r = (b) If this trend continues, how many wolves will there be in ten years? wolves (c) If this trend continues, how long will it take for the population to grow to 1000 wolves? Round your answer to the nearest tenth of a year. years
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