Math question and I need urgent help please

Question

Your family buys a photo printer to print out digital pictures. The printer costs $200. The ink and paper cost about $.60 for each photo you print.

a. Write an equation that gives the average cost of a printed photo as a function of the number of photos printed.

Let a be the numerator and b be the denominator. Use the variable p.

a =

b =



b. Graph on desmos, when will the average cost drop below $10? ____ photos 



c. Where does the price eventually level off? $

Answer 1

Total Cost= 200 + .6p where p = number of prints

Average Cost = Total Cost divided by number of prints = 200/p + .6

AC = 200/p +..6

if you want it all over 1 common denominator then

AC = (200+.6)/p

numerator = 200.6 =a

denominator = p = b

AC drops to $10 when p = 20.06 or about 20 prints

as number of prints gets increasingly large

the AC approaches 60 cents per print

but that answer ignores depreciation of the printer. It won't last forever

repair costs and replacement cost when it isn't worth repairing