Answer
(a) $1.7$ percent.
(b) year $ 2007$
Work Step by Step
(a) Given the model equation $y = -0.461x + 6.32$, for year 2014, $x=2014-2004=10$, we have $y = -0.461(10) + 6.32\approx1.7$ percent.
(b) Let $y=4.9$, we have $-0.461x + 6.32=4.9\longrightarrow 0.461x=1.42$, thus $x\approx3$ which corresponds to year $2004+3=2007$
