Question

A company employee has to print 3145 copies of a 1-page document to be mailed to clients. The company's printer prints 85 pages per minute. The function f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins.

What is the practical domain of function f?


all multiples of 85 between 0 and 3145
all real numbers from 0 to 37
all whole numbers from 0 to 37
all real numbers from 0 to 3145

Answer 1

@Tbone

Answer 2

Welp, I'm doing the math if the printer prints

85ppm and we have 3145 peices of paper

It would take 37 minutes to print it all out

Answer 3

But i don't understand what the question is asking, can someone reword that for me please?

Answer 4

The practical domain of function f represents the range of values for which the function has a meaningful interpretation in the context of the problem. In this case, the function f(x) represents the number of unprinted pages x minutes after the printing begins.

Since the company needs to print 3145 copies of a 1-page document, the total number of pages that need to be printed is 3145 pages. Therefore, the maximum value of x that makes sense in this context is the time it takes to print all 3145 pages.

The printer prints 85 pages per minute, so it will take 3145/85 = 37 minutes to print all the pages. Therefore, the practical domain of function f is all real numbers from 0 to 37, since any value of x outside this range would not have a meaningful interpretation in the context of the problem.

So, the correct answer is: all real numbers from 0 to 37.