Answer
a. For $2006, t=0,$ $A=10,$
for $2007, t=1,$ $A=9.97$
for $2008, t=2,$ $A=9.94$
for $2009, t=3,$ $A=9.91$
b. Hungary's population is decreasing at a rate of $-0.003$ a year
Work Step by Step
$A=10e^{-0.003t},$
a. for $2006, t=0,$ $A=10e^0=10,$
for $2007, t=1,$ $A=10e^{-0.003}=9.97$
for $2008, t=2,$ $A=10e^{-0.006}=9.94$
for $2009, t=3,$ $A=10e^{-0.009}=9.91$
b. Hungary's population is decreasing at a rate of $-0.003$ a year.
