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A quadratic model C(t) for the cost of tuition at a small private college in dollars for t years since 1990 is C( t ) = 8.21t2+268.1t+3600\displaystyle {8.21}{t}^{{2}}+{268.1}{t}+{3600}.
Find the equation of the tangent line for tuition in 2016.
y = m t + b where m =   and b =   .
The tangent line estimate for tuition in 2016 is   .

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