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

`0 = -8t + 96\\\\\Rightarrow\ 8t=96\\\\\Rightarrow\ t=(96)/(8)\\\\=12`

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

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=(96)/(8)\\\\=12`

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