The cost for a business to make greeting cards can be divided into one-time cost (e.g., a printing machine) and repeated costs (e.g., ink and paper). Suppose the total cost to make 300 cards is $800, and the total cost to make 550 cards is $1,300. What is the total cost to make 1,000 cards? Round your answer to the nearest dollar.

Question

A. $2,000
B. $2,200
C. $2,364
D. $2,667

Answer 1

let
b = one-time cost
m = repeated cost per card
Now you know that to print x cards,
300m+b = 800
550m+b = 1300

so, solve for m and b, and then you want 1000m+b

Answer 2

So, would m = 2, and b = 200? Therefore, the answer would be B, $2,200?