Final answer:
To find out how many posters the machine can print in 13 minutes, we can set up a proportion based on the information given.
Step-by-step explanation:
To find out how many posters the machine can print in 13 minutes, we can set up a proportion based on the information given. We know that the machine can print 560 posters in 40 minutes. So, we can set up the proportion: 560/40 = x/13. To solve for x, we can cross multiply and divide: 40x = 560 * 13. Solving for x, we get: x = (560 * 13) / 40. Evaluating this expression, we find that the machine can print 182 posters in 13 minutes.