Solve.
-A certain store has a fax machine available for use by its customers. The store charges $1.60 to send the first page and $0.45 for each subsequent page. Use an inequality to find the maximum number of pages that can be
Faxed for $6.55
A)at most 43 pages
B)at most 15 pages
C)at most 4 pages
D)at most 12 pages

Question

Quizplus · Accepted Answer

Let x be the number of subsequent pages after the first page. 
The cost to fax x subsequent pages would be 0.45x. 
Therefore, the total cost to fax a total of (x+1) pages would be 1.60+0.45x. 
To find the maximum number of pages that can be faxed for $6.55, we need to solve the inequality:
1.60+0.45x ≤ 6.55
0.45x ≤ 4.95
x ≤ 11
Since x represents the number of subsequent pages, the total number of pages including the first page would be (x+1) ≤ 12. 
Thus, the maximum number of pages that can be faxed for $6.55 is at most 12 pages. 
Therefore, the answer is D. Let x be the total number of pages to be faxed.
The cost of sending x pages can be expressed as: 
Cost = 1.6 + 0.45(x-1)
We are given that the cost must be less than or equal to $6.55, so we can write the following inequality:
1.6 + 0.45(x-1) ≤ 6.55
Simplifying this inequality, we get:
0.45x ≤ 6.5
x ≤ 14.44
Since we can only fax whole pages, the maximum number of pages that can be faxed is 12. Therefore, the answer is D) at most 12 pages.

Solve. -A Certain Store Has a Fax Machine Available for Use