From $1950$ and projected to $2050,$ the percent of women in the workforce can be modeled by

w$($x$)=9\mathrm{.}42+8\mathrm{.}70$ ln$($x$)$

where x is the number of years past $1940.$ If this model is accurate, at what rate will the percent be changing in $2031?($Round your answer to three decimal places.$)$