Question

A card printer charges $5.00 to set up each job and an additional $4.00 per box of 100 cards printed. What is the greatest number of boxes you could have printed for under $100?

a. 20 boxes
b. 25 boxes
c. 30 boxes
d. 35 boxes

Answer 1

The greatest number of boxes you could have printed for under $100 is 23 boxes.

Step-by-step explanation:

To determine the greatest number of boxes you could have printed for under $100, we need to consider the setup fee and the additional charge per box. Let's denote the number of boxes as 'x'. The total cost can be represented by the equation: Total Cost = Setup Fee + (Cost per Box * Number of Boxes). Plugging in the given values, the equation becomes: Total Cost = 5 + (4 * x). We want to find the maximum number of boxes (x) that results in a Total Cost less than $100. Solving the inequality: 5 + (4 * x) < 100, we get: x < 95/4. Rounding down to the nearest whole number, the greatest number of boxes you could have printed for under $100 is 23 boxes.