Answer
2007
Work Step by Step
$f(x) = -8.6x+275$
$f(x) = 204.9x-1217$
$204.9x-1217 = -8.6x+275$
$204.9x+8.6x-1217+1217 = -8.6x+275+1217+8.6x$
$213.5x = 1492$
$213.5x/213.5 = 1492/213.5$
$x= 6.988$
$x=7$
$f(x) = -8.6x+275$
$f(7) = -8.6*7+275$
$f(7) = -60.2 +275$
$f(7) = 214.8$
Since we are looking at seven years after 2000, we are looking for 2007.