Question

The graph shows a proportional relationship between time and number of boxes a machine packages. How many boxes does the machine package in 3 ​minutes?
Number of Boxes Packaged
0
2
4
6
8
0
80
160
240
320
Time (minutes), x
Number of Boxes, y



x y graph
.
.
.
Question content area right
Part 1
The machine packages
   boxes in 3 minutes.

Answer 1

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**.