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 [tex]C_{1}(x)=0.25x[/tex].
Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as [tex]C_{2}(x)=2.70+0.15x[/tex].
Let us assume both costs are the same if we purchase [tex]n[/tex] photos.
So, [tex]C_{1}(n)=C_{2}(n)[/tex]
[tex]0.25n=2.70+0.15n[/tex]
[tex]0.10n=2.70[/tex]
[tex]n=27[/tex]
∴ On purchasing 27 photos, cost for both the options is the same.
Answer:
The digital photos need to be printed for the cost to be the same for both options is 11 photos
Explanation:
As per the given question, the cost to print digital photos at a local store is 0.25$ 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 = [tex]\frac{2.85 \times 1}{0.25}[/tex] = 11.4
approximately 11 photos are needed to be printed for the cost to be the same for both the options.
