The table shows the number of boxes needed to hold each number of baseballs. How many boxes hold 222 baseballs?

Question

Number of Baseballs
Number of
Boxes
492
82
486
81
480
80
474
79
468
78
(1 point)
• 27 boxes
• 37 boxes
• 53 boxes
• 77 boxes

Answer 1

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.