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 20 individuals. How long must this rate of decline continue for the wolf population to reach 20? (Round your answer to two decimal places.) yr
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 20 individuals. How long must this rate of decline continue for the wolf population to reach 20? (Round your answer to two decimal places.) yr
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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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.
(b) It is expected that the wolf population cannot recover if there are fewer than 20 individuals. How long must this rate of decline continue for the wolf population to reach 20? (Round your answer to two decimal places.)
yr
W =
(b) It is expected that the wolf population cannot recover if there are fewer than 20 individuals. How long must this rate of decline continue for the wolf population to reach 20? (Round your answer to two decimal places.)
yr
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