How much does it cost to get a photo printed

Asked by admin @ in Mathematics viewed by 271 People

The cost to print digital photos at a local store is

$0.25 per photo. The cost to print digital photos
online is $0.15 per photo plus $2.70 for
shipping. How many digital photos need to be
printed for the cost to be the same for both
options?

Answered by admin @


The cost is same for both the options if we purchase 27 photos

Step-by-step explanation:

   Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as C_{1}(x)=0.25x.

   Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as C_{2}(x)=2.70+0.15x.

   Let us assume both costs are the same if we purchase n photos.

So, C_{1}(n)=C_{2}(n)

0.25n=2.70+0.15n

0.10n=2.70

n=27

∴ On purchasing 27 photos, cost for both the options is the same.


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