A pretzel manufacturer has two production lines. Line A produces a variety of pretzel that is sold for $2.40 per bag. Line A typ
ically produces 3 bags per day that do not meet company standards and cannot be sold. Line B produces a variety of pretzel that is sold for $3.60 per bag. Line B typically produces 4 bags per day that do not meet company standards and cannot be sold. Line A produces 3 times as many bags as Line B each day. Write a linear function that represents the total number of bags the lines can produce combined.
I am a high schooler as well and was working on this problem as well. I can't say I'm right or wrong because I didn't have a grade on it yet. I believe the answer is f(x)=19x - 7x. The Lines don't have a given value, so I chose the values 12 for Line A and 7 for Line B. I believe the answer is this because Line A would produce 12 bags each day and 3 of them would not be useable, leaving you with 9. Line B would produce 7 and 4 of them would be unusable, leaving you with 3. Line A produces 9 per day while Line B produces 3, and that would check off the part that says, "Line A produces 3 times as many bags as Line B each day." Throughout the problem, it talks about how many bags can each line produces each day, and the sentence talks about that specifically as well. So, the function must be about the amount of bags produced per day. x would represent the number of days that the Lines have been working. 19 is the total amount of bags that was produced in a day. 7 represents the total amount of bags that are unusable. Though I may be wrong, I hope this might help you come to a conculsion of your own.
