Question

Tanya is printing a report. There are 96 sheets of paper in the printer, and the number of sheets p left after t minutes of printing is given by the function p(t)=96-8t

Answer 1

Answer:

$0 = -8t + 96\\\\\Rightarrow\ 8t=96\\\\\Rightarrow\ t=\dfrac{96}{8}\\\\=12$

Hence, it will take 12 minutes by the printer to use all 96 sheets of paper.

Step-by-step explanation:

Given :

Tanya is printing a report.

There are 96 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

$p(t) = -96 - 8t$

When all the 96 sheets printed , then the number of sheets will left to print =0

Substitute p(t)=0 in the given function, to find the value of t, we get

$0 = -8t + 96\\\\\Rightarrow\ 8t=96\\\\\Rightarrow\ t=\dfrac{96}{8}\\\\=12$

Hence, it will take 12 minutes by the printer to use all 96 sheets of paper.