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Answer :
Final answer:
The practical domain of the function f(x)=−85x+3145, which represents the number of unprinted pages x minutes after the printing begins, is from 0 to 37. Here, the value of 'x' are whole numbers since it represents time in minutes, and in this context, fractions or decimal amounts of minutes do not apply.
Explanation:
In Mathematics, particularly in the topic of functions, the practical domain refers to the set of all possible values of x, for which the function is defined. In this particular problem, the function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins.
Given that the printer prints 85 pages per minute and there are 3145 pages to print in total, it will take the employee 3145/85 = 37 minutes to print all the pages. Therefore, the practical domain of this function f is all whole numbers from 0 to 37 inclusive.
Keep in mind, these are whole minutes. It may not make practical sense to consider fractions or decimals of minutes in this problem context as the printer operates at set whole minute intervals. So, the practical domain does not include real numbers between 0 and 37, only whole numbers.
So the practical domain of function f is all whole numbers from 0 to 37.
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Rewritten by : Barada
f(x) = -85x + 3145...the domain is going to be the x value while the range is the f(x) value.
answer is going to be all whole numbers from 0 to 37
notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.
answer is going to be all whole numbers from 0 to 37
notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.
