Question

to advertise an upcoming event, you need to convert an image file and then print it on 10 posters. it costs $35 to convert an image file plus $8 per poster at your local office supply store. you can use one coupon for your purchase. coupon a offers the first 3 posters for free, while coupon b is a 15% discount on the total cost. which coupon should you choose so you pay the least amount? a) coupon a b) coupon b c) both will save the same amount. d) none of the above

Explanation:

Step1: Calculate total cost without coupon

Total cost = Conversion cost + (Cost per poster × Number of posters)
$\text{Total Cost} = 35 + (8 \times 10) = 35 + 80 = 115$ dollars

Step2: Calculate cost with Coupon A

Coupon A covers 3 free posters, so pay for $10-3=7$ posters.
$\text{Cost with A} = 35 + (8 \times 7) = 35 + 56 = 91$ dollars

Step3: Calculate cost with Coupon B

Coupon B gives 15% discount, so pay 85% of total cost.
$\text{Cost with B} = 115 \times (1 - 0.15) = 115 \times 0.85 = 97.75$ dollars

Step4: Compare the two costs

$91 < 97.75$, so Coupon A is cheaper.

Answer:

A) Coupon A