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 45 individuals. How long must this rate of decline continue for the wolf population to reach 45? (Round your answer to two decimal places.) ___________yr

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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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 45 individuals. How long must this rate of decline continue for the wolf population to reach 45? (Round your answer to two decimal places.)
 ___________yr
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