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?
A) $\{ n \mid n 16$ reprints $\}$
B) $\{ \mathrm { n } \mid \mathrm { n } 15$ reprints $\}$
C) $\{ n \mid n 18$ reprints $\}$
D) $\{ \mathrm { n } \mid \mathrm { n } 19$ reprints $\}$

Question

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?
A) $\{ n \mid n > 16$ reprints $\}$
B) $\{ \mathrm { n } \mid \mathrm { n } > 15$ reprints $\}$
C) $\{ n \mid n > 18$ reprints $\}$
D) $\{ \mathrm { n } \mid \mathrm { n } > 19$ reprints $\}$

Quizplus · Accepted Answer

To find when mail order becomes less expensive, set up an inequality where the cost of buying n reprints at the local photo shop is greater than the cost of buying n reprints through the mail. Local photo shop cost for n reprints: $0.52n$. Mail order cost for n reprints: $0.44n + 1.20$. Solve $0.52n > 0.44n + 1.20$. Subtracting $0.44n$ from both sides gives $0.08n > 1.20$. Dividing both sides by $0.08$ gives $n > 15$. Therefore, for more than 15 reprints, mail order is less expensive.

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

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