Netta faxed n pages from the library. The library charges $1.50 per page. Later the same day, Netta faxed n more pages from a local copy shop. The copy shop charges $1.25 per page plus a $2 convenience fee. Write and simplify an expression for the amount Netta spent on faxes that day.
Please help me with the expression. Thanks
1.50n + 2.00+1.25n
$2.75n + $2.00
To calculate the amount Netta spent on faxes for that day, we need to determine the cost of faxing pages at the library and at the copy shop and then add the two costs together.
Let's break down the calculation for each location:
1. Library:
The library charges $1.50 per page. Since Netta faxed 'n' pages from the library, the cost of faxing pages at the library can be expressed as 1.50*n.
2. Copy Shop:
The copy shop charges $1.25 per page plus a $2 convenience fee. If Netta faxed 'n' more pages from the copy shop, the cost of faxing pages at the copy shop can be expressed as 1.25*n + 2.
To calculate the total amount Netta spent on faxes that day, you need to add the cost of faxing pages at the library to the cost of faxing pages at the copy shop:
Total Cost = Cost at Library + Cost at Copy Shop
= 1.50n + (1.25n + 2)
Now, let's simplify the expression:
Total Cost = 1.50n + 1.25n + 2
= (1.50 + 1.25)n + 2
= 2.75n + 2
Therefore, the simplified expression for the amount Netta spent on faxes that day is 2.75n + 2.