Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 100. How many minutes would it take the printer to use all 100 sheets of paper?

Answer: 12.5 minutesStep-by-step explanation:Given : Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function [tex]p(t) = -8t + 100[/tex]. When all the 100 sheets printed , then the number of sheets will left to print =0Substitute p(t)=0 in the given function, to find the value of t, we get[tex]0 = -8t + 100\\\\\Rightarrow\ 8t=100\\\\\Rightarrow\ t=\dfrac{100}{8}=12.5[/tex]Hence, it will take 12.5 minutes by the printer to use all 100 sheets of paper.