Question

The given bar graph shows the percentage of U.S. women in the labor force from 1960 through 2010. The function f left parenthesis x right parenthesis equals 3.5 square root of x plus 38 models the percentage of U.S. women in the labor force, f left parenthesis x right parenthesis , x years after 1960. Use this formula to solve the following questions.

US women in Labor ForceAccording to the model above, approximately what percentage of women will be a part of the work force in 1996? Does the given bar graph verify this result? Explain why or why not. Use complete sentences and proper labels to answer.

Answer 1

59% of women will be a part of the work force in 1996

According to the bars, the percentage was in the range of 57.5 - 60.2. This verify the previous result.

Explanation:

In the figure attached, the bar graph is shown.

f(x) = 3.5√x + 38

where f(x) models the percentage of U.S. women in the labor force x years after 1960. In 1996, x = 1996 - 1960 = 36. Replacing it into the equation:

f(36) = 3.5√36 + 38 = 59%