(a) who says she made an error? But, if she had to round to one of the marks, then she erred in not doing so.
(b) I think Lacey would have won, since she was sure she had thrown 13' 10 3/16". Had it been clearly closer to one of the 1/8-inch marks, she'd have chosen that one. A finer measuring grid would no doubt have allowed her to choose the 3/16" mark for her report. We have no way of knowing just where Randall's throw actually landed.
The edge of the ball falls the marks for 13 feet 10 1/8 inches and 13 feet 10 1/4 inchess, so he rounds to the eighth of an inch closest to where his ball landed, which is 13 feet 10 1/8 inches. At her school, Lacey fires her cataplult and measures the distance. Her distance falls between the same two marks, but she reports her distance as 13 feet 10 3/16 inches and claims she’s won.
a. What measurement error did Lacey make?
b. The judges declare a tie, but is it possible that Randal would have won if they used a measuring tape with higher precision? Explain why or why not.
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