Question

An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can send/receive 120 fax pages at no additional cost. For each page sent or received past the 120 page limit, the customer must pay an overage fee of $0.08 per page. The following expression gives the total cost, in dollars, to send p pages beyond the plan's monthly limit.

C= 0.06p + 12.75

Required:
If the monthly bill under this plan comes out to be $16.47, what was the total number of pages that were sent or received?

Answer 1

62 pages

Explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages