Answer
$1.42 \text{ billion U.S. admissions to movie theaters}
$
Work Step by Step
Since $2007$ is $5$ years after $2002,$ then $x=5.$ Substituting $x=5$ in the given equation, $
y=-0.04x+1.62
,$ results to
\begin{array}{l}\require{cancel}
y=-0.04(5)+1.62
\\
y=-0.2+1.62
\\
y=1.42
.\end{array}
Hence, in $2007$ there are $
1.42 \text{ billion U.S. admissions to movie theaters}
.$