Answer
$x=45,\ y=190$
The minimum number of accidents per 50 million miles driven., according to the model,
is 190, associated with 45-year-old drivers.
Work Step by Step
$f(x)=0.4x^{2}-36x+1000$
has a vertex at $x=45$, the point of lowest function value.
$y=f(45)=0.4(45^{2})-36(45)+1000=190$
The minimum number of accidents per 50 million miles driven., according to the model,
is 190, associated with 45-year-old drivers.