Question

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?

Answer 1

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

Step-by-step 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 =
`(2.85 * 1)/(0.25)` = 11.4

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

Answer 2

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.