For the years 1970-2006. the percent of females in the workforce is given by y =

Question

For the years 1970-2006. the percent of females in the workforce is given by y = 10 058 + 8 320 In x. where x is the number of years from 1 (a) What does the model predict the percent to be in 2010? In 2015? (b) Is the percent of female workers increasing or decreasing? (a) The model presets the workforce in 2010 to be approximately % females. (Do not round until the final answer Then round to the nearest tenth as needed.) The model predicts the workforce in 2015 to be approximately % females. (Do not round until the final answer Then round to the nearest tenth as needed.) (b) Is the percent of female workers increasing or decreasing? Choose the correct answer below. decreasing increasing

Explanation / Answer

y =

where x is no. of yrs from 1970 (This is not visible)

a) 2010 ; x= 40

y = 10.058 + 8.320(ln40) = 40.75 = 40.8%

b) To find increasing/ decreasing dy/dx = 8.320/x

as x increases dy/dx decreases

y = 10.058 + 8.320ln(x) is increasing

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