<h3>
Answer: C) 26 complete rotations</h3>
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Explanation:
The diameter of the ball is 8.5 inches. So d = 8.5
The circumference of the circle with this diameter is
C = pi*d
C = pi*8.5
C = 8.5pi
C = 26.7035375555132 approximately.
This is the rough distance it travels in one revolution or one full rotation.
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1 revolution = 26.7035375555132 inches
(1/26.7035375555132) revolution = 1 inch
1 inch = (1/26.7035375555132) revolution
1 inch = 0.03744822190398 revolution
There are 12 inches a foot, so,
1 inch = 0.03744822190398 revolution
12*1 inch = revolution
12 inches = 0.44937866284776 revolution
1 foot = 0.44937866284776 revolution
Now multiply both sides by 60
1 foot = 0.44937866284776 revolution
60*1 foot = 60*0.44937866284776 revolution
60 feet = 26.9627197708657 revolutions
Round down to the nearest whole number to get 26
We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.
Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.
---> a is less than b
---> a is less than or equal to b
---> a is greater than b
---> a is greater than or equal to b