Solve the Problem $$f ( x ) = 0.0040 x ^ { 2 } - 0.43 x + 36.98$$

Multiple Choice

Solve the problem.
-The quadratic function $$f ( x ) = 0.0040 x ^ { 2 } - 0.43 x + 36.98$$ models the median, or average, age, y, at which U.S. 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) 1953, 36 years old
B) 1936, 48.5 years old
C) 1954, 25.4 years old
D) 1954, 48.5 years old