Question 151516
First, subtract 1963 from 2000 to get {{{2000-1963=37}}}. So in the year 2000,  37 years have elapsed since 1963. This means that in the year 2000, t=37.



{{{A(t)=336e^(0.031t)}}} Start with the given function.



{{{A(37)=336e^(0.031(37))}}} Plug in {{{t=37}}}



{{{A(37)=336e^(1.147)}}} Multiply 0.031 and 37 to get 1.147



{{{A(37)=336(3.14873)}}} Raise "e" to the 1.147th power to get 3.14873



{{{A(37)=1057.97328}}}  Multiply 336 and 3.14873 to get 1,057.97328



So in the year 2000, there will be approximately 1,058 rats. Note: I rounded to the nearest integer.