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.

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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?

The printer needs 11.5 minutes to use all 92 sheets of paper.

Step-by-step explanation:

Given the function

p(t) = −8t + 92

We know that putting p(t) = 0 means we will be able to determine the time when all the 92 sheets of paper will have been printed.

Thus, plug in p(t) = 0 in the function and calculate the time 't'

p(t) = −8t + 92

0 = −8t + 92

adding 8t to both sides

8t = −8t + 92 + 8t

8t = 92

dividing both sides by 8

8t/8 = 92/8

t = 11.5 minutes.

Thus, the printer needs 11.5 minutes to use all 92 sheets of paper.

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