Aprinter can print 30 pages in 2.5 minutes. write and solve a proportion to find the number of pages that the printer can print in 5 minutes. show your work

The number of pages the printer can print and time are directly proportional. If we let x be the number of pages and t the time, this direct variation may be mathematically expressed as, 
                
                                              x = kt

where k is the constant of variation.

Substituting the given to the equation,

                                             30 = k(2.5)  ; k = 12

Solving for the number of pages printed after 5 minutes,
 
                                            x = (12)(5) = 60

Thus, the printer can print 60 pages in 5 minutes.