ASK YOUR Teacher A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For purposes of this problem, we assume that this 19% annual rate of decrease continues. (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009 W = (b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of decline continue for the wolf population to reach 50? (Round your answer to two decimal places.) yr

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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ASK YOUR Teacher
A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For
purposes of this problem, we assume that this 19% annual rate of decrease continues.
(a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009
W =
(b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of
decline continue for the wolf population to reach 50? (Round your answer to two decimal places.)
yr
Transcribed Image Text:ASK YOUR Teacher A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For purposes of this problem, we assume that this 19% annual rate of decrease continues. (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009 W = (b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of decline continue for the wolf population to reach 50? (Round your answer to two decimal places.) yr
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