For selected years from 1950 and projected to 2050, the table shows the percent of total U.5. workers who were female. Year % Female Year % Female 1950 29.5 2010 4?.9 1950 33.4 2015 48.3 1970 38.1 2020 48.1 1980 42.5 2030 48.0 1990 45.2 2040 4?.9 2000 45.5 2050 4?.3' Assume these data can be modeled with the function 78.61\" + 2090 t = FE} 1.381L + 64.1 where p{f]| is the percent of the U.S. work force that is female and t is the number of years past 1950. (a) Find Iim p(f}. {Round your answer to two decimal places.) fma gim pm = x (b) Interpret your answer to part {a}. O The model tells us that this is the current percentage of workers who are female. 0 The model tells us that this will be the percentage of workers who are female in 2050. O The model tells us that this was the percentage of workers who were female in 1950. O The model predicts that in the long run this percentage of female workers will lose theirjobs. O This model predicts that in the long run, this percentage of the workers will be female. (c) Does p[t} have any vertical asymptotes within its domain t 2 0? 0 Yes, p(t} has one vertical asymptote within its domain. 0 Yes, p') has two vertical asymptotes within its domain. 0 Yes, pt} has three vertical asymptotes within its domain. 0 Yes, pt} has four vertical asymptotes within its domain. 0 No, pEt} has no vertical asymptotes within its domain. (d) Whenever mt} cc 0 and p[t} : 100, the model would be inappropriate. Determine whether the model is ever inappropriate for t 3: 0. 0 Yes, the model is inappropriate for some values because the function does not exist when there is a vertical asymptote. 0 Yes, the model is inappropriate for some values because when t is very close to 0 we have p(t)