Question

The cost to print digital photos at a local store is

Answer 1

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.

Answer 2

Answer:

The digital photos need to be  printed for the cost to be the same for both options is  11 photos

Explanation:

As per the given question, the cost to print digital photos at a local store is 0.25$ per pic.The cost to print digital photos online was $0.15 per photo and $2.70 for shipping.  

For 1 pic – 0.25

X    pics   - 2.85

Therefore,

X = $\frac{2.85 \times 1}{0.25}$ = 11.4

approximately 11 photos are needed to be printed for the cost to be the same for both the options.