The table shows the number of boxes needed to hold different numbers of baseballs how many boxes are needed for 222 baseballs? Number of baseballs 492 boxes 82. Numbers of baseballs 486 number of boxes 81. Number of baseballs 480 number of boxes 80 number of baseballs 474 number of boxes 79 number of baseballs 468 number of boxes. Answer choices 27,37,53,77
Based on the given information, we can make a linear relationship between the number of baseballs and the number of boxes needed.
To find the number of boxes needed for 222 baseballs, we will use the equation of a line:
slope = (number of boxes) / (number of baseballs)
From the given data, the slope is:
slope = (82 - 80) / (492 - 480) = 2 / 12 = 1/6
Using the slope-intercept form (y = mx + b), we can find the y-intercept (b):
b = number of boxes - slope * number of baseballs
For (480, 80):
80 = (1/6) * 480 + b
80 = 80 + b
b = 0
So the equation of the line is: number of boxes = (1/6) * number of baseballs
Now, we can substitute 222 baseballs into the equation:
number of boxes = (1/6) * 222
number of boxes = 222/6
number of boxes = 37
Therefore, 37 boxes are needed for 222 baseballs. The answer is 37.