Question

Andre owns a computer backup service. He charges his customers $2.50 for each backup CD. His expenses include $875 for the CD recording equipment and $0.35 for each blank CD. Which equation could Andre use to calculate his profit p for the recording of n CDs?

Answer 1

`p =2.15n - 875`

Explanation:

Given

`CD_s= n`

`Charges = 2.50` per CD

Expenses

`E_1 = 875`

`E_2 = 0.35` per CD

Required

The profit (p)

First, calculate the total income on n CDs

`Total = Charges * n`

`Total = 2.50 * n`

`Total = 2.50n`

Next, the expenses on n CDs

`Expenses = E_1 + E_2 * n`

`Expenses = 875 + 0.35 * n`

`Expenses = 875 + 0.35n`

The profit (p) is:

`p = Total - Expenses`

`p =2.50n - (875 + 0.35n)`

Open bracket

`p =2.50n - 875 - 0.35n`

Collect like terms

`p =2.50n - 0.35n - 875`

`p =2.15n - 875`