Let p represent the number of pages that Adriana can fax and stay within her budget. If the cost of one page is $0.08, then the cost of x pages would be $0.08x
Given that the service charge is $25, then the total cost of x pages is
0.08x + 25
Given that she has a budget of $115, it means that she can only spend lesser than or equal to $115. The inequality representing this situation is
[tex]0.08x\text{ + 25 }\leq115[/tex]By solving the inequality, it becomes
[tex]\begin{gathered} 0.08x\text{ + 25 }\leq115 \\ 0.08x\text{ }\leq115\text{ - 25} \\ 0.08x\leq90 \\ x\text{ }\leq\frac{90}{0.08} \\ x\leq1125 \end{gathered}[/tex]She can send less than or equal to 1125 pages and stay within her budget.
