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.
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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 = –18.53t^2 + 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.
Find the difference in projected enrollments for public schools and private schools in 2005.
\[B = –18.53t^2 + 975.8t + 48,140\]\[ R = 80.8t + 8049\] \[B-R=–18.53t^2 + 975.8t + 48,140 - \left( 80.8t + 8049 \right)\]
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