Question

Adriana has a budget of $115 for faxes. The fox service she uses charges $25 to activatean account and $0.08 per page to send foxes. How many pages con Adriana fax and stay within herbudget? Use the inequality 25 +0.08p 115.

Answer 1

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

`0.08x\text{ + 25 }\leq115`

By solving the inequality, it becomes

`\begin{gathered} 0.08x\text{ + 25 }\leq115 \\ 0.08x\text{ }\leq115\text{ - 25} \\ 0.08x\leq90 \\ x\text{ }\leq(90)/(0.08) \\ x\leq1125 \end{gathered}`

She can send less than or equal to 1125 pages and stay within her budget.