The given function is
[tex]y=35000(0.94)^t[/tex]y is the population
t is the time since the year 2000
We need to find the population in the year 2012
To find t subtract 2000 from 2012
[tex]t=2012-2000=12[/tex]Substitute t by 12 in the function above
[tex]\begin{gathered} y=35000(0.94)^{12} \\ y=16657.21102 \end{gathered}[/tex]Round it to the nearest whole number
[tex]y=16657[/tex]The population is about 16657 in the year 2012
