We can use the following rate to solve the exercise.
[tex]\frac{11\text{ minutes}}{2.5\text{ pages}}=\frac{x}{12\text{ pages}}[/tex]Now, we solve for x:
[tex]\begin{gathered} \text{ Multiply by 12 pages from both sides} \\ \frac{11\text{ minutes}}{2.5\text{ pages}}\cdot12\text{ pages}=\frac{x}{12\text{ pages}}\cdot12\text{ pages} \\ \frac{11\text{ minutes }\cdot12\text{ pages}}{2.5\text{ pages}}=x \\ \frac{11\cdot12}{2.5}\text{ minutes}=x \\ \frac{132}{2.5}\text{ minutes}=x \\ 52.8\text{ minutes }=x \end{gathered}[/tex]AnswerThe old dot-matrix printer should take 52.8 minutes to print 12 pages.