Question

Tanya is printing a report. There are 92 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 + 92.

Answer 1

You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.

Here is the complete question:

Tanya is printing a report. There are 92 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 + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

It would take 11.5 minutes for the printer to use all 92 sheets of paper

Step-by-step explanation:

Given:

• Tanya is printing a report. There are 92 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 + 92

To determine:

How many minutes would it take the printer to use all 92 sheets of paper?

Given the function

$p(t) = -8t + 92$

We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.

Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes

$0 = -8t + 92$

$8t = 92$

Divide both sides by 8

$\frac{8t}{8}=\frac{92}{8}$

$t=\frac{23}{2}$

$t = 11.5$ minutes

• Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paper