Mathematics, 09.01.2020 12:31 allenpaietonp9v8sv
The population for gulch dry has been declining according to the function p(t)= 8000. 2^-t/29 where t is the number of years since 1910
a) what was the town's population in 1990
b) in what year will the town's population first fall under 125 people?
Answers: 3
![\bf 1990-1910=80\leftarrow t \\\\\\ P(t)=8000(2)^{-\frac{t}{29}}\implies P(80)=8000(2)^{-\frac{80}{29}} \\\\\\ P(80)=8000\cdot \cfrac{1}{2^{\frac{80}{29}}}\implies P(80)=\cfrac{8000}{\sqrt[29]{2^{80}}}](/tpl/images/0448/4303/bd5c1.png)
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The population for gulch dry has been declining according to the function p(t)= 8000. 2^-t/29 where...
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