Question

An advertiser goes to a printer and is charged $47 for 90 copies of one flyer and $62 for 207 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.

A. (C(x) = 0.5x + 2)
B. (C(x) = 0.5x + 7)
C. (C(x) = 0.7x + 2)
D. (C(x) = 0.7x + 7)

Answer 1

After setting up two equations with the provided costs and solving for the fixed cost and the cost per copy, we get the function C(x) = 0.1282x + 35.462. However, this result does not match any of the given options, indicating a possible error in the question details or options.

Step-by-step explanation:

The problem involves finding a mathematical function that represents the cost of printing flyers. The advertiser is charged $47 for 90 copies and $62 for 207 copies, which indicates there is a fixed setup cost plus a variable cost per copy. We can set up two equations based on the information provided:

• 47 = c + 90p
• 62 = c + 207p

Here, c represents the fixed setup cost and p the cost per copy. Solving these two equations simultaneously will yield the values of c and p. If we subtract the first equation from the second, we eliminate c and get:

62 - 47 = (c + 207p) - (c + 90p)

15 = 117p

This gives us the value of p:

p = 15 / 117 ≈ $0.1282 per copy

Using either of the original equations and substituting the value of p to find c:

47 = c + 90(0.1282)

47 = c + 11.538

c = 47 - 11.538

c ≈ $35.462

The cost function, therefore, is C(x) = 0.1282x + 35.462. However, this function does not match any of the provided options, suggesting that there may be a mistake in the information provided, or the options available.