12
QuizMultiple Choice

Write and Solve Equations

Question 12 • EF Math 12 1st Nine Weeks

The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C represent the total cost of printing and x represent the number of copies. Write in symbolic form an equation that will relate C and x. Organize the data into a table of values. Begin with 500 copies, increase by increments of 500, and end with 2500 copies.

Answer
A
C = 52.20xNumber of Copies, x Total Cost, C500 $52,2001000 $78,3001500 $104,4002000 $130,5002500 $156,600
B
C = 52.20xNumber of Copies, x Total Cost, C500 $26,1001000 $52,2001500 $78,3002000 $104,4002500 $130,500
C
C = 52 + 0.20xNumber of Copies, x Total Cost, C500 $2521000 $3521500 $4522000 $5522500 $652
D
C = 52 + 0.20xNumber of Copies, x Total Cost, C500 $1521000 $2521500 $3522000 $4522500 $552

Explanation

The total cost is the $52 flat rate plus $0.20 for each copy, so the equation is C = 52 + 0.20x. Substituting 500 copies gives C = 52 + 0.20(500) = $152. Each additional 500 copies adds $100, producing costs of $252, $352, $452, and $552 for 1,000 through 2,500 copies. This matches choice D.

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