SOLUTION: An advertiser goes to a printer and is charged $30 for 50 copies of one flyer and $43 for 192 copies of another flyer. The printer charges a fixed setup cost plus a charge for eve

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An advertiser goes to a printer and is charged $30 for 50 copies of one flyer and $43 for 192 copies of another flyer. The printer charges a fixed setup cost plus a charge for eve      Log On


   

Question 1044199: An advertiser goes to a printer and is charged $30 for 50 copies of one flyer and $43 for 192 copies of another flyer. The 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. C(x)=
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
C(x)=cost for x copies; F=fixed setup cost; P=per copy charge
x=number of copies
.
C(x)=F+Px
.
$30=F+(P*50)
$30-50P=F
.
$43=F+(P*192)
$43-192P=F
.
$30-50P=$43-192P
142P=$13
P=$0.0915
.
F=$30-50P
F=$30-50($0.0915)
F=$30-$4.575
F=$25.425
.
CHECK:
F=$43-192P
F=$43-192($0.0915)
F=$43-$17.568
F=25.432
.
The setup cost is $25.43. The per copy cost is $0.0915
.
ANSWER:
C(x)=$25.43+$0.0915x
.
CHECK 1:
.
C(x)=$25.43+$0.0915(x)
$30=$25.43+0.$0.0915(50)
$30=$25.43+$4.575
$30=$30.005 (discrepancy from rounding)
.
CHECK 2:
.
C(x)=$25.43+$0.0915(x)
$43=$25.43+$0.0915(192)
$43=$25.43+$17.568
$43=$42.998 (discrepancy from rounding)