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 Force

According to the model, when will 70% of the U. S. women participate in the work force? Show all work and explain your answer in the context of the problem.

Question

Mathematics

Amari Howell

6 July, 01:35

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 Force

According to the model, when will 70% of the U. S. women participate in the work force? Show all work and explain your answer in the context of the problem.

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Answers (1)

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Vargas · Answer 1

Half of year 2043

Step-by-step explanation:

The function is: f (x) = 3.5√x + 38

where f (x) represents the percentage of U. S. women in the labor force x years after 1960.

Replacing f (x) = 70 and isolating x, we get:

70 = 3.5√x + 38

3.5√x = 70 - 38

√x = 32/3.5

x = 9.14²

x = 83.5

This means, in year 1960 + 83.5 = 2043.5, that is, at half of year 2043