The table shows the number of boxes needed to hold each number of baseballs how many boxes hold to 22 baseballs ?
Number of baseballs. Number of boxes
492. 82
486. 81
480. 80
474. 79
468. 78
A. 27 boxes
B. 37 boxes
C. 53 boxes
D. 76 boxes
To determine how many boxes hold 22 baseballs, we need to look for the row that has the closest number of baseballs to 22.
From the given table, the row with the closest number of baseballs to 22 is the row with 24 baseballs (between 20 and 25). However, this row is not included in the given table.
Therefore, we approximate the number of boxes needed using a linear interpolation between the two closest rows: 20 baseballs (82 boxes) and 25 baseballs (81 boxes).
Using the formula for linear interpolation, we can calculate the approximate number of boxes needed to hold 22 baseballs:
Number of boxes = [(Number of baseballs - Number of baseballs in lower row) / (Number of baseballs in upper row - Number of baseballs in lower row)] x (Number of boxes in upper row - Number of boxes in lower row) + Number of boxes in lower row
Number of boxes = [(22 - 20) / (25 - 20)] x (81 - 82) + 82
= [2 / 5] x (-1) + 82
= (-2/5) + 82
= 81.6
Therefore, approximately 81.6 boxes hold 22 baseballs. Since we can't have a fraction of a box, we round up to the nearest whole number.
Hence, the correct answer would be C. 53 boxes.