To determine how many boxes the machine packages in 3 minutes based on the information given in the graph, we need to identify the proportional relationship between time (x-axis) and the number of boxes packaged (y-axis).
From your description, it seems that the graph plots the number of boxes on the y-axis against the time in minutes on the x-axis.
Assuming the relationship is linear (which we can infer from the mention of a proportional relationship) and that we can extract scale values from the y-axis:
From the numbers given:
- If at \(0\) minutes, \(0\) boxes;
- At \(1\) minute, \(2\) boxes;
- At a further minute, \(4\) boxes and so on.
From the pattern, we can see that the machine packages \(2\) boxes per minute.
So, in \(3\) minutes, the machine will package: \[ 2 \text{ boxes/minute} \times 3 \text{ minutes} = 6 \text{ boxes}. \]
Thus, the machine packages 6 boxes in 3 minutes.