Shonda owns a bussiness that transfers photos to CD-ROMs. She charges her customers $24.95 for each CD-ROM. Which of these equations could be use to calculate her profit 'p' for creating 'n' CD-ROMs?
a)p=(24.95-0.8)n - 575
b)p=(24.95+0.8)n + 575
c)p=24.95n - 574.20
d)p=24.95n + 575
and show why(solve)...please.
To calculate Shonda's profit for creating 'n' CD-ROMs, we need to subtract the cost of creating the CDs from the revenue generated.
Given that she charges her customers $24.95 for each CD-ROM and the cost of creating each CD-ROM is $0.80, the equation should reflect this.
Let's go through each option:
a) p = (24.95 - 0.8)n - 575
This equation subtracts both the cost per CD-ROM and an additional $575 from the revenue, which doesn't make sense in this context. The 575 subtraction does not accurately represent any additional costs. So, option (a) can be eliminated.
b) p = (24.95 + 0.8)n + 575
Similar to option (a), this equation adds both the cost per CD-ROM and an additional $575 to the revenue, which is incorrect. Therefore, option (b) can be eliminated as well.
c) p = 24.95n - 574.20
This equation correctly accounts for the cost per CD-ROM by multiplying it by the number of CD-ROMs (n) and deducting it from the revenue. However, the subtraction of $574.20 doesn't align with the information given in the question. Therefore, option (c) can be eliminated.
d) p = 24.95n + 575
This equation accurately reflects the calculation for profit. It multiplies the cost per CD-ROM by the number of CD-ROMs (n) and adds it to the revenue. Additionally, the addition of $575 corresponds to other costs, such as operating expenses, that are not related to the cost per CD-ROM. Therefore, option (d) is the correct equation to calculate Shonda's profit.
Hence, the correct equation is p = 24.95n + 575.