Solve.
-Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail
Order?

Question

Quizplus · Accepted Answer

Let x be the number of reprints needed to make it less expensive to use mail order. The cost of x reprints at the local photo shop is 0.52x. The cost of x reprints through the mail is 0.44x + 1.20. We want to find the value of x such that 0.44x + 1.20 < 0.52x. Simplifying this inequality, we get: 1.20 < 0.08x x > 15 Since x has to be a whole number, the smallest value of x such that x > 15 is x = 16. Therefore, a customer must purchase at least 16 reprints to make it less expensive to use mail order. The cost of 16 reprints at the local photo shop is 0.52(16) = $8.32. The cost of 16 reprints through the mail is 0.44(16) + 1.20 = $8.84. Since $8.32 < $8.84, using the local photo shop is less expensive for less than 16 reprints, and using mail order is less expensive for 16 or more reprints. Thus, the answer is C, as it is the only choice that is greater than 15.

Solve. -Photography Reprints Cost $0.52 Each at a Local Photo Shop