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.

The exponential model that gives the wolf populationWas a function of the timetin years since 2009 is

W=870(1.19)^t

(b) It is expected that the wolf population cannot recover if there are fewer than35individuals. How long must this rate of decline continue for the wolf population to reach35? (Round your answer to two decimal places.)

= yr