Question

A certain store has a fax machine available for use by its customers. The store charges $2.35 to send the first page and $0.70 for each subsequent page. The total price, P, for the faxing x pages can be modeled by the formula . Determine the number of pages that can be faxed for $10.75.

Answer 1

The formula to determine the total price for faxing x pages is P = 2.35 + 0.70(x-1). To find the number of pages that can be faxed for $10.75, we solve the equation and find that 13 pages can be faxed.

Step-by-step explanation:

The formula to determine the total price, P, for faxing x pages is: P = 2.35 + 0.70(x-1).

In this formula, the first page is charged $2.35, and each subsequent page is charged $0.70. To find the number of pages that can be faxed for $10.75, we can solve the equation 10.75 = 2.35 + 0.70(x-1) for x.

10.75 - 2.35 = 0.70(x-1)
8.40 = 0.70(x-1)
divide both sides by 0.70
12 = x - 1
add 1 to both sides
13 = x

Therefore, 13 pages can be faxed for $10.75.

Answer 2

Total pages= 12

Step-by-step explanation:

Giving the following information:

The store charges $2.35 to send the first page and $0.70 for each subsequent page. Determine the number of pages that can be faxed for $10.75.

First, we need to determine the cost formula:

Cost= 2.35 + 0.7*x

10.75= 2.35 + 0.7x

8.4=0.7x

12=x

Total pages= 12

Cost= 2.35 + 0.7*12= $10.75