Solve the problem.The table below lists women's and men's total enrollments at all institutions of higher learning in Country X for various years. College Enrollments (Millions)YearWomenMen19996.35.920017.46.520058.16.820138.97.120179.27.4The enrollments (in millions) of women and men, respectively, can be modeled by the systemW(t) = 0.14t + 5.69M(t) = 0.07t + 5.62where t is the number of years since 1991.(i) Use substitution or elimination to estimate when women's and men's enrollments were approximately equal. What was that enrollment?(ii) Use the models to predict the total enrollment of women and men in 2028.
A. (i) In about 1988, women's and men's enrollment was about 5.9 million students.
(ii) In 2028, W(36) = 10.73 million students and M(36) = 8.14 million students.
B. (i) The system cannot be solved.
(ii) In 2028, W(35) = 10.59 million students and M(35) = 8.07 million students.
C. (i) In about 1990, women's and men's enrollment was about 5.6 million students.
(ii) In 2028, W(37) = 10.87 million students and M(37) = 8.21 million students.
D. (i) In about 1990, women's and men's enrollment was about 6.3 million students.
(ii) In 2028, W(38) = 11.01 million students and M(38) = 8.28 million students.
Answer: C
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