SOLUTION: an advertiser goes to a printer and is charged $79 for 100 copies of one flyer and $88 for 400 copies of another flyer. this printer charges a fixed setup cost plus a charge for ev

Question 186718This question is from textbook mathematical analysis
: an advertiser goes to a printer and is charged $79 for 100 copies of one flyer and $88 for 400 copies of another flyer. this printer charges a fixed setup cost plus a charge for every copy of single-page flyers. find a function that describes the cost of a printing job, if x is the number of copies made.
Please, With FULL details
and please clear explaination.. Thank you so much ! This question is from textbook mathematical analysis

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is a linear function of the type y=mx+b, where the y-intercept (b) is the setup cost
and the slope (m) is the cost per copy

you have two points on the line, (100,79) and (400,88)
so you can find the equation

first, the slope ___ m = (88-79)/(400-100) ___ m = 9/300 ___ m = .03
so each copy costs 3 cents

substituting ___ 79 = .03(100) + b ___ 79 = 3 + b ___ 76 = b
so the setup cost is $76

the function is ___ (cost) = .03(copies) + 76
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