Solve the Problem $f ( x ) = 0.0037 x ^ { 2 } - 0.48 x + 36.78$

Multiple Choice

Solve the problem.
-In one U.S. city, the quadratic function $f ( x ) = 0.0037 x ^ { 2 } - 0.48 x + 36.78$ models the median, or average, age, $y$ , at which men were first married x years after 1900 . In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to the nearest tenth.)

A) $1965,21.2$ years old
B) $1965,52.3$ years old
C) $1936,52.3$ years old
D) 1954,36 years old