The cost of printing the school newspaper is $500 for 800 copies and $620 for 1200 copies. If the printing cost is a linear function of the copies printed, how do you find the cost of printing 1500 copies?

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Answer 1 · 2017-04-27T11:18:35

Cost of printing #1500# copies is # $710 #

This is a linear function, i.e obeys straight line equation:

Let y denotes cost in #$# and x denotes number of copies.

Slope #m= (620 -500)/(1200-800)= 120/400=3/10#

Equation of straight line is #y=mx+c or 500 = 3/10*800+c or 500 =240+c or c= 500-240=260#
Equation of straight line is # y = 3/10 x+260#

Check: #620 = 3/10*1200 +260 or 620 =360+260 or 620 =620#

Cost of printing #1500# copies is # y =3/10*1500+260 = 450+260 = $710 # graph{3/10 x+260 [-1280, 1280, -640, 640]} [Ans]