Zadanie 1a, Paper 3, listopad 2024, Matematyka AA IB HL

A digitization team begins year 1 with 4800 pages awaiting processing. During each year, incoming revisions increase the outstanding work by 12.5%, after which a fixed quota is processed at year-end. Treat page counts as continuous estimates until rounding is requested. With quota 400, T_n denotes the work at the start of year n, so T₁ = 4800 and $T_{n+1}=\frac98T_n-400$. With quota 750, use D_n instead. For either policy, a non-positive algebraic prediction means the queue has already cleared; actual work cannot be negative.