Answer
in the year $2022$
Work Step by Step
Substituting $y=0$ in the given equation, $
y=-94.8x+2049
,$ then the value of $x$ is
\begin{array}{l}\require{cancel}
0=-94.8x+2049
\\\\
94.8x=2049
\\\\
x=\dfrac{2049}{94.8}
\\\\
x\approx22
.\end{array}
Hence, the annual number of cigarettes smoked is zero in 22 years after 2000, or $\text{
in the year $2022$
.}$
