Here is the complete question I was able to find:
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:
The printer needs 11.5 minutes to use all 92 sheets of paper.
Explanation:
Given the function
p(t) = −8t + 92
- We need to determine how many minutes would it take the printer to use all 92 sheets of paper?
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.
- Because, putting p(t)=0 means there won't be any sheet left.
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.