Question 1131660


{{{y = 0.42x + 68.8}}}

where {{{x}}} = the number of years since 1997 
({{{x = 0}}}...for 1997) and y = the percentage. 

Based on this equation, find the approximate percentage of women's earnings for the following years.
(a) 

{{{2010}}} =>{{{2010-1997=13}}}=> {{{x=13}}}

{{{y = 0.42*13 + 68.8}}}
{{{y = 74.26}}}% 


(b) 

{{{2015 }}}=>{{{x=18}}}

{{{y = 0.42*18 + 68.8}}}

{{{y = 76.36}}}% 


(c)

{{{ 2020}}} =>{{{x=23}}}

{{{y = 0.42*23 + 68.8}}}

{{{y = 78.46}}}% 


(d) 

When will the percentage reach {{{85}}}%? (Round your answer to the nearest year.) 

{{{85= 0.42x + 68.8}}}

{{{85-68.8= 0.42x }}}

{{{16.2= 0.42x }}}

{{{x=16.2/ 0.42 }}}

{{{x=38.57142857142857 }}}

{{{x=39 }}} 

in year {{{2036}}}