The percent of all workers 16 years and older that are female, for selected years from 1970

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The percent of all workers 16 years and older that are female, for selected years from 1970 and projected to 2040, is given in the following table.

(a) Find the logarithmic function that models the percent as a function of the years, with x equal to the number of years past 1960.

(b) Visually determine whether this model is a good fit for the data.

(c) Use the model to predict the percent of workers who are females in 2045.

Year Percent Year Percent 38.1 42.5 45.2 48.3 1970 2015 1980 2020 48.1 1990 2030 48.0 2040 2000 46.6 47.9 2010 47.9
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