Final answer:
To find the number of boxes the machine can fold in 11 minutes, set up a proportion and solve for x. The machine can fold 154 boxes in 11 minutes.
Step-by-step explanation:
To find the number of boxes that the machine can fold in 11 minutes, we can use a proportion. We know that the machine can fold 280 boxes in 20 minutes, so we set up the proportion:
280 boxes / 20 minutes = x boxes / 11 minutes
To solve for x, we cross multiply and divide:
x = (280 boxes * 11 minutes) / 20 minutes
Simplifying the expression gives us:
x = 3080 boxes / 20 minutes
x = 154 boxes
Therefore, the machine can fold 154 boxes in 11 minutes.