Solve the Problem $f ( x ) = 0.0036 x ^ { 2 } - 0.44 x + 36.95$

Multiple Choice

Solve the problem.
-In one U.S. city, the quadratic function $f ( x ) = 0.0036 x ^ { 2 } - 0.44 x + 36.95$ models the median, or average, age, $\mathrm { y }$ , 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) $1961,23.5$ years old
B) $1961,50.4$ years old
C) $1936,50.4$ years old
D) 1953,36 years old