Question

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

Number of Baseballs Number of Boxes
492 82
486 81
480 80
474 79
468 78


(1 point)
Responses

27 boxes

27 boxes

37 boxes

37 boxes

53 boxes

53 boxes

77 boxes

77 boxes
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1 answer

To find out how many boxes hold 222 baseballs, we can first analyze the pattern in the provided table.

Looking at the given data, we see the following:

  • 492 baseballs require 82 boxes.
  • 486 baseballs require 81 boxes.
  • 480 baseballs require 80 boxes.
  • 474 baseballs require 79 boxes.
  • 468 baseballs require 78 boxes.

From this, we can see that the number of boxes decreases by 1 for every 6 baseballs. This indicates a ratio of boxes to baseballs. To determine the number of boxes for 222 baseballs, we can first establish the ratio from the given data.

We have:

  • \( 492 \div 82 \) = 6 baseballs per box
  • \( 486 \div 81 \) = 6 baseballs per box
  • \( 480 \div 80 \) = 6 baseballs per box
  • \( 474 \div 79 \) = 6 baseballs per box
  • \( 468 \div 78 \) = 6 baseballs per box

Now that we know there are approximately 6 baseballs per box, we can estimate the number of boxes needed for 222 baseballs:

Number of boxes for 222 baseballs = \( 222 \div 6 = 37 \).

Thus, 222 baseballs would be held in 37 boxes. The correct response is:

37 boxes.