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

question 57

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

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Definitions:

Market Economies

Economic systems in which decisions about production, investment, and distribution are based on supply and demand, and prices of goods and services are determined in free markets.

Basic Question

A fundamental inquiry that establishes the underlying principles or elements of a topic or issue.

Distribution of Income

The way in which a nation’s total earnings are divided among its population, or how the nation's wealth is shared among individuals.

Production

The process of creating goods and services to satisfy consumer demand.