To find out how many boxes hold 222 baseballs, we first need to identify the pattern in the table.
The provided data indicates:
- 492 baseballs => 82 boxes
- 486 baseballs => 81 boxes
- 480 baseballs => 80 boxes
- 474 baseballs => 79 boxes
- 468 baseballs => 78 boxes
From this data, we can see that as the number of baseballs decreases by 6, the number of boxes decreases by 1.
Using this pattern:
- 492 - 6 = 486 (82 - 1 = 81 boxes)
- 486 - 6 = 480 (81 - 1 = 80 boxes)
- 480 - 6 = 474 (80 - 1 = 79 boxes)
- 474 - 6 = 468 (79 - 1 = 78 boxes)
So we can establish a formula or relation.
Now, let's calculate how many boxes correspond to 222 baseballs.
First, we find out how much we need to decrease from 492 to reach 222:
492 - 222 = 270
Next, since we know that for every decrease of 6 baseballs, there is a decrease of 1 box, we can find the number of boxes by calculating how many intervals of 6 fit into 270:
270 ÷ 6 = 45
This means we would decrease the number of boxes by 45 from the original 82 boxes:
82 - 45 = 37 boxes
Thus, 37 boxes are needed to hold 222 baseballs.
The answer is 37 boxes.