During the period 1985–2012, the projected enrollment B (in thousands of students) in public schools and the projected enrollment R (in thousands of students) in private schools can be modeled by B = –18.53t2 + 975.8t + 48,140 and R = 80.8t + 8049, where t is the number of years since 1985.

Write an equation that models the difference in the projected enrollments for public schools and private schools as a function of the number of years since 1985.

Question

During the period 1985–2012, the projected enrollment B (in thousands of students) in public schools and the projected enrollment R (in thousands of students) in private schools can be modeled by B = –18.53t2 + 975.8t + 48,140 and R = 80.8t + 8049, where t is the number of years since 1985.


Write an equation that models the difference in the projected enrollments for public schools and private schools as a function of the number of years since 1985.