For selected years from 1950 and projected to 2050, the table shows the percent of total U.S.

Question:

For selected years from 1950 and projected to 2050, the table shows the percent of total U.S. workers who were female.

% Female % Female Year Year 1950 47.9 29.6 2010 1960 33.4 2015 48.3 38.1 48.1 48.0 1970 2020 1980 42.5 2030 45.2 47.9 19

Assume these data can be modeled with the function p(t) = 78.6t + 2090 / 1.38t + 64.1where p(t) is the percent of the U.S. workforce that is female and t is the number of years past 1950.
a. Find limt †’ ˆž p(t).
b. Interpret your answer to part (a).
c. Does p(t) have any vertical asymptotes within its domain t ‰¥ 0?
d. Whenever p(t) 100, the model would be inappropriate. Determine whether the model is ever inappropriate for t ‰¥ 0.