Solve the Problem $$f ( x ) = 0.0039 x ^ { 2 } - 0.47 x + 36.46$$

question 23

Multiple Choice

Solve the problem.
-The quadratic function models the median, or average, age, y, at which U.S. men $$f ( x ) = 0.0039 x ^ { 2 } - 0.47 x + 36.46$$ 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) 1936, 50.6 years old
• B) 1960, 50.6 years old
• C) 1953, 36 years old
• D) 1960, 22.3 years old

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Definitions:

Zygote

The initial cell formed when a sperm cell fertilizes an egg cell, representing the earliest stage of embryonic development.

Primitive Brain

Refers to the brain structures involved in basic survival functions, often equated with the brainstem and limbic system.

Conception

The process of a sperm fertilizing an ovum, leading to the formation of a zygote and the beginning of pregnancy.

Forebrain

Evolutionarily the most recent addition to the brain; coordinates advanced cognitive functions such as thinking, planning, and language; contains the allocortex, neocortex, and basal ganglia.