Women’s Studies—Married Labor Force: Over the past half century, increasing numbers of married women have gone to work. The number of married women in the U.S. labor force from 1970 to 2010 can be modeled by
f(x) = 2.57(18.33x + 139.79)0.4 0 ≤ x ≤ 40
where x represents the number of years since 1970 and f(x) represents the number of married women in the U.S. labor force, measured in millions. (Source: U.S. Bureau of Labor Statistics.)
(a) Determine f′(x).
(b) Evaluate f(35) and f′(35) and interpret each.
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